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Simplifying 4(2x + -3) = 8 + -1(x + 6) Reorder the terms: 4(-3 + 2x) = 8 + -1(x + 6) (-3 * 4 + 2x * 4) = 8 + -1(x + 6) (-12 + 8x) = 8 + -1(x + 6) Reorder the terms: -12 + 8x = 8 + -1(6 + x) -12 + 8x = 8 + (6 * -1 + x * -1) -12 + 8x = 8 + (-6 + -1x) Combine like terms: 8 + -6 = 2 -12 + 8x = 2 + -1x Solving -12 + 8x = 2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -12 + 8x + x = 2 + -1x + x Combine like terms: 8x + x = 9x -12 + 9x = 2 + -1x + x Combine like terms: -1x + x = 0 -12 + 9x = 2 + 0 -12 + 9x = 2 Add '12' to each side of the equation. -12 + 12 + 9x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 2 + 12 9x = 2 + 12 Combine like terms: 2 + 12 = 14 9x = 14 Divide each side by '9'. x = 1.555555556 Simplifying x = 1.555555556
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