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Simplifying 2(3x + -1) = 5(2x + -6) Reorder the terms: 2(-1 + 3x) = 5(2x + -6) (-1 * 2 + 3x * 2) = 5(2x + -6) (-2 + 6x) = 5(2x + -6) Reorder the terms: -2 + 6x = 5(-6 + 2x) -2 + 6x = (-6 * 5 + 2x * 5) -2 + 6x = (-30 + 10x) Solving -2 + 6x = -30 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -2 + 6x + -10x = -30 + 10x + -10x Combine like terms: 6x + -10x = -4x -2 + -4x = -30 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + -4x = -30 + 0 -2 + -4x = -30 Add '2' to each side of the equation. -2 + 2 + -4x = -30 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -30 + 2 -4x = -30 + 2 Combine like terms: -30 + 2 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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