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Simplifying 3(-3x + 10) = -2(x + 6) Reorder the terms: 3(10 + -3x) = -2(x + 6) (10 * 3 + -3x * 3) = -2(x + 6) (30 + -9x) = -2(x + 6) Reorder the terms: 30 + -9x = -2(6 + x) 30 + -9x = (6 * -2 + x * -2) 30 + -9x = (-12 + -2x) Solving 30 + -9x = -12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 30 + -9x + 2x = -12 + -2x + 2x Combine like terms: -9x + 2x = -7x 30 + -7x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 30 + -7x = -12 + 0 30 + -7x = -12 Add '-30' to each side of the equation. 30 + -30 + -7x = -12 + -30 Combine like terms: 30 + -30 = 0 0 + -7x = -12 + -30 -7x = -12 + -30 Combine like terms: -12 + -30 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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