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Simplifying -2(5x + -6) = -1(3x + -2) + 1 Reorder the terms: -2(-6 + 5x) = -1(3x + -2) + 1 (-6 * -2 + 5x * -2) = -1(3x + -2) + 1 (12 + -10x) = -1(3x + -2) + 1 Reorder the terms: 12 + -10x = -1(-2 + 3x) + 1 12 + -10x = (-2 * -1 + 3x * -1) + 1 12 + -10x = (2 + -3x) + 1 Reorder the terms: 12 + -10x = 2 + 1 + -3x Combine like terms: 2 + 1 = 3 12 + -10x = 3 + -3x Solving 12 + -10x = 3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 12 + -10x + 3x = 3 + -3x + 3x Combine like terms: -10x + 3x = -7x 12 + -7x = 3 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + -7x = 3 + 0 12 + -7x = 3 Add '-12' to each side of the equation. 12 + -12 + -7x = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = 3 + -12 -7x = 3 + -12 Combine like terms: 3 + -12 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286
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