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