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Simplifying 5x + -4(2x + -3) = 2(x + -4) Reorder the terms: 5x + -4(-3 + 2x) = 2(x + -4) 5x + (-3 * -4 + 2x * -4) = 2(x + -4) 5x + (12 + -8x) = 2(x + -4) Reorder the terms: 12 + 5x + -8x = 2(x + -4) Combine like terms: 5x + -8x = -3x 12 + -3x = 2(x + -4) Reorder the terms: 12 + -3x = 2(-4 + x) 12 + -3x = (-4 * 2 + x * 2) 12 + -3x = (-8 + 2x) Solving 12 + -3x = -8 + 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. 12 + -3x + -2x = -8 + 2x + -2x Combine like terms: -3x + -2x = -5x 12 + -5x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -5x = -8 + 0 12 + -5x = -8 Add '-12' to each side of the equation. 12 + -12 + -5x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = -8 + -12 -5x = -8 + -12 Combine like terms: -8 + -12 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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