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Simplifying 3(5 + -2x) = 2(6 + -3x) + -10x (5 * 3 + -2x * 3) = 2(6 + -3x) + -10x (15 + -6x) = 2(6 + -3x) + -10x 15 + -6x = (6 * 2 + -3x * 2) + -10x 15 + -6x = (12 + -6x) + -10x Combine like terms: -6x + -10x = -16x 15 + -6x = 12 + -16x Solving 15 + -6x = 12 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 15 + -6x + 16x = 12 + -16x + 16x Combine like terms: -6x + 16x = 10x 15 + 10x = 12 + -16x + 16x Combine like terms: -16x + 16x = 0 15 + 10x = 12 + 0 15 + 10x = 12 Add '-15' to each side of the equation. 15 + -15 + 10x = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 10x = 12 + -15 10x = 12 + -15 Combine like terms: 12 + -15 = -3 10x = -3 Divide each side by '10'. x = -0.3 Simplifying x = -0.3
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