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Simplifying 5x + -5 + 3(2x + 2) = -7(x + 1) Reorder the terms: 5x + -5 + 3(2 + 2x) = -7(x + 1) 5x + -5 + (2 * 3 + 2x * 3) = -7(x + 1) 5x + -5 + (6 + 6x) = -7(x + 1) Reorder the terms: -5 + 6 + 5x + 6x = -7(x + 1) Combine like terms: -5 + 6 = 1 1 + 5x + 6x = -7(x + 1) Combine like terms: 5x + 6x = 11x 1 + 11x = -7(x + 1) Reorder the terms: 1 + 11x = -7(1 + x) 1 + 11x = (1 * -7 + x * -7) 1 + 11x = (-7 + -7x) Solving 1 + 11x = -7 + -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. 1 + 11x + 7x = -7 + -7x + 7x Combine like terms: 11x + 7x = 18x 1 + 18x = -7 + -7x + 7x Combine like terms: -7x + 7x = 0 1 + 18x = -7 + 0 1 + 18x = -7 Add '-1' to each side of the equation. 1 + -1 + 18x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 18x = -7 + -1 18x = -7 + -1 Combine like terms: -7 + -1 = -8 18x = -8 Divide each side by '18'. x = -0.4444444444 Simplifying x = -0.4444444444
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