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Simplifying 5x + 1 = 3x + -2(4x + -3) Reorder the terms: 1 + 5x = 3x + -2(4x + -3) Reorder the terms: 1 + 5x = 3x + -2(-3 + 4x) 1 + 5x = 3x + (-3 * -2 + 4x * -2) 1 + 5x = 3x + (6 + -8x) Reorder the terms: 1 + 5x = 6 + 3x + -8x Combine like terms: 3x + -8x = -5x 1 + 5x = 6 + -5x Solving 1 + 5x = 6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 1 + 5x + 5x = 6 + -5x + 5x Combine like terms: 5x + 5x = 10x 1 + 10x = 6 + -5x + 5x Combine like terms: -5x + 5x = 0 1 + 10x = 6 + 0 1 + 10x = 6 Add '-1' to each side of the equation. 1 + -1 + 10x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 10x = 6 + -1 10x = 6 + -1 Combine like terms: 6 + -1 = 5 10x = 5 Divide each side by '10'. x = 0.5 Simplifying x = 0.5
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