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Simplifying -5(2x + 6) = -3(-4 + x) Reorder the terms: -5(6 + 2x) = -3(-4 + x) (6 * -5 + 2x * -5) = -3(-4 + x) (-30 + -10x) = -3(-4 + x) -30 + -10x = (-4 * -3 + x * -3) -30 + -10x = (12 + -3x) Solving -30 + -10x = 12 + -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. -30 + -10x + 3x = 12 + -3x + 3x Combine like terms: -10x + 3x = -7x -30 + -7x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -30 + -7x = 12 + 0 -30 + -7x = 12 Add '30' to each side of the equation. -30 + 30 + -7x = 12 + 30 Combine like terms: -30 + 30 = 0 0 + -7x = 12 + 30 -7x = 12 + 30 Combine like terms: 12 + 30 = 42 -7x = 42 Divide each side by '-7'. x = -6 Simplifying x = -6
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