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Simplifying 7x + -4(x + -6) = 2(x + -8) Reorder the terms: 7x + -4(-6 + x) = 2(x + -8) 7x + (-6 * -4 + x * -4) = 2(x + -8) 7x + (24 + -4x) = 2(x + -8) Reorder the terms: 24 + 7x + -4x = 2(x + -8) Combine like terms: 7x + -4x = 3x 24 + 3x = 2(x + -8) Reorder the terms: 24 + 3x = 2(-8 + x) 24 + 3x = (-8 * 2 + x * 2) 24 + 3x = (-16 + 2x) Solving 24 + 3x = -16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 24 + 3x + -2x = -16 + 2x + -2x Combine like terms: 3x + -2x = 1x 24 + 1x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 1x = -16 + 0 24 + 1x = -16 Add '-24' to each side of the equation. 24 + -24 + 1x = -16 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = -16 + -24 1x = -16 + -24 Combine like terms: -16 + -24 = -40 1x = -40 Divide each side by '1'. x = -40 Simplifying x = -40
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