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Simplifying -4(4x + -2) + 7x = 2(-6 + -2x) Reorder the terms: -4(-2 + 4x) + 7x = 2(-6 + -2x) (-2 * -4 + 4x * -4) + 7x = 2(-6 + -2x) (8 + -16x) + 7x = 2(-6 + -2x) Combine like terms: -16x + 7x = -9x 8 + -9x = 2(-6 + -2x) 8 + -9x = (-6 * 2 + -2x * 2) 8 + -9x = (-12 + -4x) Solving 8 + -9x = -12 + -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. 8 + -9x + 4x = -12 + -4x + 4x Combine like terms: -9x + 4x = -5x 8 + -5x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + -5x = -12 + 0 8 + -5x = -12 Add '-8' to each side of the equation. 8 + -8 + -5x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = -12 + -8 -5x = -12 + -8 Combine like terms: -12 + -8 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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