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Simplifying 5x + 2 + -2(3 + -4) = 3(x + 5) + -4(4 + -1x) Combine like terms: 3 + -4 = -1 5x + 2 + -2(-1) = 3(x + 5) + -4(4 + -1x) Multiply -2 * -1 5x + 2 + 2 = 3(x + 5) + -4(4 + -1x) Reorder the terms: 2 + 2 + 5x = 3(x + 5) + -4(4 + -1x) Combine like terms: 2 + 2 = 4 4 + 5x = 3(x + 5) + -4(4 + -1x) Reorder the terms: 4 + 5x = 3(5 + x) + -4(4 + -1x) 4 + 5x = (5 * 3 + x * 3) + -4(4 + -1x) 4 + 5x = (15 + 3x) + -4(4 + -1x) 4 + 5x = 15 + 3x + (4 * -4 + -1x * -4) 4 + 5x = 15 + 3x + (-16 + 4x) Reorder the terms: 4 + 5x = 15 + -16 + 3x + 4x Combine like terms: 15 + -16 = -1 4 + 5x = -1 + 3x + 4x Combine like terms: 3x + 4x = 7x 4 + 5x = -1 + 7x Solving 4 + 5x = -1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + 5x + -7x = -1 + 7x + -7x Combine like terms: 5x + -7x = -2x 4 + -2x = -1 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -2x = -1 + 0 4 + -2x = -1 Add '-4' to each side of the equation. 4 + -4 + -2x = -1 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = -1 + -4 -2x = -1 + -4 Combine like terms: -1 + -4 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5
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