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Simplifying 5(x + 1) = 2(3x + -2) Reorder the terms: 5(1 + x) = 2(3x + -2) (1 * 5 + x * 5) = 2(3x + -2) (5 + 5x) = 2(3x + -2) Reorder the terms: 5 + 5x = 2(-2 + 3x) 5 + 5x = (-2 * 2 + 3x * 2) 5 + 5x = (-4 + 6x) Solving 5 + 5x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5 + 5x + -6x = -4 + 6x + -6x Combine like terms: 5x + -6x = -1x 5 + -1x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -1x = -4 + 0 5 + -1x = -4 Add '-5' to each side of the equation. 5 + -5 + -1x = -4 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -4 + -5 -1x = -4 + -5 Combine like terms: -4 + -5 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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