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Simplifying 4(5x + -3) + [25 + -1(10x + 5)] = 6(3x + 2) + -7(4x + 2) Reorder the terms: 4(-3 + 5x) + [25 + -1(10x + 5)] = 6(3x + 2) + -7(4x + 2) (-3 * 4 + 5x * 4) + [25 + -1(10x + 5)] = 6(3x + 2) + -7(4x + 2) (-12 + 20x) + [25 + -1(10x + 5)] = 6(3x + 2) + -7(4x + 2) Reorder the terms: -12 + 20x + [25 + -1(5 + 10x)] = 6(3x + 2) + -7(4x + 2) -12 + 20x + [25 + (5 * -1 + 10x * -1)] = 6(3x + 2) + -7(4x + 2) -12 + 20x + [25 + (-5 + -10x)] = 6(3x + 2) + -7(4x + 2) Combine like terms: 25 + -5 = 20 -12 + 20x + [20 + -10x] = 6(3x + 2) + -7(4x + 2) Remove brackets around [20 + -10x] -12 + 20x + 20 + -10x = 6(3x + 2) + -7(4x + 2) Reorder the terms: -12 + 20 + 20x + -10x = 6(3x + 2) + -7(4x + 2) Combine like terms: -12 + 20 = 8 8 + 20x + -10x = 6(3x + 2) + -7(4x + 2) Combine like terms: 20x + -10x = 10x 8 + 10x = 6(3x + 2) + -7(4x + 2) Reorder the terms: 8 + 10x = 6(2 + 3x) + -7(4x + 2) 8 + 10x = (2 * 6 + 3x * 6) + -7(4x + 2) 8 + 10x = (12 + 18x) + -7(4x + 2) Reorder the terms: 8 + 10x = 12 + 18x + -7(2 + 4x) 8 + 10x = 12 + 18x + (2 * -7 + 4x * -7) 8 + 10x = 12 + 18x + (-14 + -28x) Reorder the terms: 8 + 10x = 12 + -14 + 18x + -28x Combine like terms: 12 + -14 = -2 8 + 10x = -2 + 18x + -28x Combine like terms: 18x + -28x = -10x 8 + 10x = -2 + -10x Solving 8 + 10x = -2 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 8 + 10x + 10x = -2 + -10x + 10x Combine like terms: 10x + 10x = 20x 8 + 20x = -2 + -10x + 10x Combine like terms: -10x + 10x = 0 8 + 20x = -2 + 0 8 + 20x = -2 Add '-8' to each side of the equation. 8 + -8 + 20x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 20x = -2 + -8 20x = -2 + -8 Combine like terms: -2 + -8 = -10 20x = -10 Divide each side by '20'. x = -0.5 Simplifying x = -0.5
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