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Simplifying 6x + -4(x + -1) = 5(x + 2) + -3 Reorder the terms: 6x + -4(-1 + x) = 5(x + 2) + -3 6x + (-1 * -4 + x * -4) = 5(x + 2) + -3 6x + (4 + -4x) = 5(x + 2) + -3 Reorder the terms: 4 + 6x + -4x = 5(x + 2) + -3 Combine like terms: 6x + -4x = 2x 4 + 2x = 5(x + 2) + -3 Reorder the terms: 4 + 2x = 5(2 + x) + -3 4 + 2x = (2 * 5 + x * 5) + -3 4 + 2x = (10 + 5x) + -3 Reorder the terms: 4 + 2x = 10 + -3 + 5x Combine like terms: 10 + -3 = 7 4 + 2x = 7 + 5x Solving 4 + 2x = 7 + 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. 4 + 2x + -5x = 7 + 5x + -5x Combine like terms: 2x + -5x = -3x 4 + -3x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -3x = 7 + 0 4 + -3x = 7 Add '-4' to each side of the equation. 4 + -4 + -3x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 7 + -4 -3x = 7 + -4 Combine like terms: 7 + -4 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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