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Simplifying -6(3x + -2) = 3(-5x + -1) Reorder the terms: -6(-2 + 3x) = 3(-5x + -1) (-2 * -6 + 3x * -6) = 3(-5x + -1) (12 + -18x) = 3(-5x + -1) Reorder the terms: 12 + -18x = 3(-1 + -5x) 12 + -18x = (-1 * 3 + -5x * 3) 12 + -18x = (-3 + -15x) Solving 12 + -18x = -3 + -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. 12 + -18x + 15x = -3 + -15x + 15x Combine like terms: -18x + 15x = -3x 12 + -3x = -3 + -15x + 15x Combine like terms: -15x + 15x = 0 12 + -3x = -3 + 0 12 + -3x = -3 Add '-12' to each side of the equation. 12 + -12 + -3x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = -3 + -12 -3x = -3 + -12 Combine like terms: -3 + -12 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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