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Simplifying 4(2x + -3) = 3 + -1(2x + -5) Reorder the terms: 4(-3 + 2x) = 3 + -1(2x + -5) (-3 * 4 + 2x * 4) = 3 + -1(2x + -5) (-12 + 8x) = 3 + -1(2x + -5) Reorder the terms: -12 + 8x = 3 + -1(-5 + 2x) -12 + 8x = 3 + (-5 * -1 + 2x * -1) -12 + 8x = 3 + (5 + -2x) Combine like terms: 3 + 5 = 8 -12 + 8x = 8 + -2x Solving -12 + 8x = 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 + 8x + 2x = 8 + -2x + 2x Combine like terms: 8x + 2x = 10x -12 + 10x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 10x = 8 + 0 -12 + 10x = 8 Add '12' to each side of the equation. -12 + 12 + 10x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = 8 + 12 10x = 8 + 12 Combine like terms: 8 + 12 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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