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Simplifying 2x + -3(x + -4) = 8x + -1(5x + -3) Reorder the terms: 2x + -3(-4 + x) = 8x + -1(5x + -3) 2x + (-4 * -3 + x * -3) = 8x + -1(5x + -3) 2x + (12 + -3x) = 8x + -1(5x + -3) Reorder the terms: 12 + 2x + -3x = 8x + -1(5x + -3) Combine like terms: 2x + -3x = -1x 12 + -1x = 8x + -1(5x + -3) Reorder the terms: 12 + -1x = 8x + -1(-3 + 5x) 12 + -1x = 8x + (-3 * -1 + 5x * -1) 12 + -1x = 8x + (3 + -5x) Reorder the terms: 12 + -1x = 3 + 8x + -5x Combine like terms: 8x + -5x = 3x 12 + -1x = 3 + 3x Solving 12 + -1x = 3 + 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. 12 + -1x + -3x = 3 + 3x + -3x Combine like terms: -1x + -3x = -4x 12 + -4x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -4x = 3 + 0 12 + -4x = 3 Add '-12' to each side of the equation. 12 + -12 + -4x = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 3 + -12 -4x = 3 + -12 Combine like terms: 3 + -12 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25
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