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Simplifying 4(2x + -3) = 6 + -1(3 + -2x) Reorder the terms: 4(-3 + 2x) = 6 + -1(3 + -2x) (-3 * 4 + 2x * 4) = 6 + -1(3 + -2x) (-12 + 8x) = 6 + -1(3 + -2x) -12 + 8x = 6 + (3 * -1 + -2x * -1) -12 + 8x = 6 + (-3 + 2x) Combine like terms: 6 + -3 = 3 -12 + 8x = 3 + 2x Solving -12 + 8x = 3 + 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 = 3 + 2x + -2x Combine like terms: 8x + -2x = 6x -12 + 6x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 6x = 3 + 0 -12 + 6x = 3 Add '12' to each side of the equation. -12 + 12 + 6x = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 3 + 12 6x = 3 + 12 Combine like terms: 3 + 12 = 15 6x = 15 Divide each side by '6'. x = 2.5 Simplifying x = 2.5
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