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Simplifying 5(x + 1) + 8 = -2(3x + -12) Reorder the terms: 5(1 + x) + 8 = -2(3x + -12) (1 * 5 + x * 5) + 8 = -2(3x + -12) (5 + 5x) + 8 = -2(3x + -12) Reorder the terms: 5 + 8 + 5x = -2(3x + -12) Combine like terms: 5 + 8 = 13 13 + 5x = -2(3x + -12) Reorder the terms: 13 + 5x = -2(-12 + 3x) 13 + 5x = (-12 * -2 + 3x * -2) 13 + 5x = (24 + -6x) Solving 13 + 5x = 24 + -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. 13 + 5x + 6x = 24 + -6x + 6x Combine like terms: 5x + 6x = 11x 13 + 11x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 13 + 11x = 24 + 0 13 + 11x = 24 Add '-13' to each side of the equation. 13 + -13 + 11x = 24 + -13 Combine like terms: 13 + -13 = 0 0 + 11x = 24 + -13 11x = 24 + -13 Combine like terms: 24 + -13 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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