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Simplifying -10(3x + -2) = -7(x + -5) + -8x Reorder the terms: -10(-2 + 3x) = -7(x + -5) + -8x (-2 * -10 + 3x * -10) = -7(x + -5) + -8x (20 + -30x) = -7(x + -5) + -8x Reorder the terms: 20 + -30x = -7(-5 + x) + -8x 20 + -30x = (-5 * -7 + x * -7) + -8x 20 + -30x = (35 + -7x) + -8x Combine like terms: -7x + -8x = -15x 20 + -30x = 35 + -15x Solving 20 + -30x = 35 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 20 + -30x + 15x = 35 + -15x + 15x Combine like terms: -30x + 15x = -15x 20 + -15x = 35 + -15x + 15x Combine like terms: -15x + 15x = 0 20 + -15x = 35 + 0 20 + -15x = 35 Add '-20' to each side of the equation. 20 + -20 + -15x = 35 + -20 Combine like terms: 20 + -20 = 0 0 + -15x = 35 + -20 -15x = 35 + -20 Combine like terms: 35 + -20 = 15 -15x = 15 Divide each side by '-15'. x = -1 Simplifying x = -1
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