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Simplifying 2(x + -6) + -1(5x + 3) = 4(6x + 3) Reorder the terms: 2(-6 + x) + -1(5x + 3) = 4(6x + 3) (-6 * 2 + x * 2) + -1(5x + 3) = 4(6x + 3) (-12 + 2x) + -1(5x + 3) = 4(6x + 3) Reorder the terms: -12 + 2x + -1(3 + 5x) = 4(6x + 3) -12 + 2x + (3 * -1 + 5x * -1) = 4(6x + 3) -12 + 2x + (-3 + -5x) = 4(6x + 3) Reorder the terms: -12 + -3 + 2x + -5x = 4(6x + 3) Combine like terms: -12 + -3 = -15 -15 + 2x + -5x = 4(6x + 3) Combine like terms: 2x + -5x = -3x -15 + -3x = 4(6x + 3) Reorder the terms: -15 + -3x = 4(3 + 6x) -15 + -3x = (3 * 4 + 6x * 4) -15 + -3x = (12 + 24x) Solving -15 + -3x = 12 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -15 + -3x + -24x = 12 + 24x + -24x Combine like terms: -3x + -24x = -27x -15 + -27x = 12 + 24x + -24x Combine like terms: 24x + -24x = 0 -15 + -27x = 12 + 0 -15 + -27x = 12 Add '15' to each side of the equation. -15 + 15 + -27x = 12 + 15 Combine like terms: -15 + 15 = 0 0 + -27x = 12 + 15 -27x = 12 + 15 Combine like terms: 12 + 15 = 27 -27x = 27 Divide each side by '-27'. x = -1 Simplifying x = -1
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