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Simplifying 5(x + 3) + -5 = -2(3x + -7) + -32 Reorder the terms: 5(3 + x) + -5 = -2(3x + -7) + -32 (3 * 5 + x * 5) + -5 = -2(3x + -7) + -32 (15 + 5x) + -5 = -2(3x + -7) + -32 Reorder the terms: 15 + -5 + 5x = -2(3x + -7) + -32 Combine like terms: 15 + -5 = 10 10 + 5x = -2(3x + -7) + -32 Reorder the terms: 10 + 5x = -2(-7 + 3x) + -32 10 + 5x = (-7 * -2 + 3x * -2) + -32 10 + 5x = (14 + -6x) + -32 Reorder the terms: 10 + 5x = 14 + -32 + -6x Combine like terms: 14 + -32 = -18 10 + 5x = -18 + -6x Solving 10 + 5x = -18 + -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. 10 + 5x + 6x = -18 + -6x + 6x Combine like terms: 5x + 6x = 11x 10 + 11x = -18 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + 11x = -18 + 0 10 + 11x = -18 Add '-10' to each side of the equation. 10 + -10 + 11x = -18 + -10 Combine like terms: 10 + -10 = 0 0 + 11x = -18 + -10 11x = -18 + -10 Combine like terms: -18 + -10 = -28 11x = -28 Divide each side by '11'. x = -2.545454545 Simplifying x = -2.545454545
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