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Simplifying 5(x + 1) + -12 = -2(3x + 8) Reorder the terms: 5(1 + x) + -12 = -2(3x + 8) (1 * 5 + x * 5) + -12 = -2(3x + 8) (5 + 5x) + -12 = -2(3x + 8) Reorder the terms: 5 + -12 + 5x = -2(3x + 8) Combine like terms: 5 + -12 = -7 -7 + 5x = -2(3x + 8) Reorder the terms: -7 + 5x = -2(8 + 3x) -7 + 5x = (8 * -2 + 3x * -2) -7 + 5x = (-16 + -6x) Solving -7 + 5x = -16 + -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. -7 + 5x + 6x = -16 + -6x + 6x Combine like terms: 5x + 6x = 11x -7 + 11x = -16 + -6x + 6x Combine like terms: -6x + 6x = 0 -7 + 11x = -16 + 0 -7 + 11x = -16 Add '7' to each side of the equation. -7 + 7 + 11x = -16 + 7 Combine like terms: -7 + 7 = 0 0 + 11x = -16 + 7 11x = -16 + 7 Combine like terms: -16 + 7 = -9 11x = -9 Divide each side by '11'. x = -0.8181818182 Simplifying x = -0.8181818182
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