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Simplifying 4(x + -3) + -1(2x + 3) = 12 + -1(x + -6) Reorder the terms: 4(-3 + x) + -1(2x + 3) = 12 + -1(x + -6) (-3 * 4 + x * 4) + -1(2x + 3) = 12 + -1(x + -6) (-12 + 4x) + -1(2x + 3) = 12 + -1(x + -6) Reorder the terms: -12 + 4x + -1(3 + 2x) = 12 + -1(x + -6) -12 + 4x + (3 * -1 + 2x * -1) = 12 + -1(x + -6) -12 + 4x + (-3 + -2x) = 12 + -1(x + -6) Reorder the terms: -12 + -3 + 4x + -2x = 12 + -1(x + -6) Combine like terms: -12 + -3 = -15 -15 + 4x + -2x = 12 + -1(x + -6) Combine like terms: 4x + -2x = 2x -15 + 2x = 12 + -1(x + -6) Reorder the terms: -15 + 2x = 12 + -1(-6 + x) -15 + 2x = 12 + (-6 * -1 + x * -1) -15 + 2x = 12 + (6 + -1x) Combine like terms: 12 + 6 = 18 -15 + 2x = 18 + -1x Solving -15 + 2x = 18 + -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. -15 + 2x + x = 18 + -1x + x Combine like terms: 2x + x = 3x -15 + 3x = 18 + -1x + x Combine like terms: -1x + x = 0 -15 + 3x = 18 + 0 -15 + 3x = 18 Add '15' to each side of the equation. -15 + 15 + 3x = 18 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = 18 + 15 3x = 18 + 15 Combine like terms: 18 + 15 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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