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Simplifying 3(x + -2) = 5(2x + -6) Reorder the terms: 3(-2 + x) = 5(2x + -6) (-2 * 3 + x * 3) = 5(2x + -6) (-6 + 3x) = 5(2x + -6) Reorder the terms: -6 + 3x = 5(-6 + 2x) -6 + 3x = (-6 * 5 + 2x * 5) -6 + 3x = (-30 + 10x) Solving -6 + 3x = -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. -6 + 3x + -10x = -30 + 10x + -10x Combine like terms: 3x + -10x = -7x -6 + -7x = -30 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -7x = -30 + 0 -6 + -7x = -30 Add '6' to each side of the equation. -6 + 6 + -7x = -30 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = -30 + 6 -7x = -30 + 6 Combine like terms: -30 + 6 = -24 -7x = -24 Divide each side by '-7'. x = 3.428571429 Simplifying x = 3.428571429
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