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Simplifying -6 + -3(x + -7) = -2(-2x + -4) Reorder the terms: -6 + -3(-7 + x) = -2(-2x + -4) -6 + (-7 * -3 + x * -3) = -2(-2x + -4) -6 + (21 + -3x) = -2(-2x + -4) Combine like terms: -6 + 21 = 15 15 + -3x = -2(-2x + -4) Reorder the terms: 15 + -3x = -2(-4 + -2x) 15 + -3x = (-4 * -2 + -2x * -2) 15 + -3x = (8 + 4x) Solving 15 + -3x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + -3x + -4x = 8 + 4x + -4x Combine like terms: -3x + -4x = -7x 15 + -7x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -7x = 8 + 0 15 + -7x = 8 Add '-15' to each side of the equation. 15 + -15 + -7x = 8 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = 8 + -15 -7x = 8 + -15 Combine like terms: 8 + -15 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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