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Simplifying 3 + -6(x + -4) = -3 + -2(x + -9) Reorder the terms: 3 + -6(-4 + x) = -3 + -2(x + -9) 3 + (-4 * -6 + x * -6) = -3 + -2(x + -9) 3 + (24 + -6x) = -3 + -2(x + -9) Combine like terms: 3 + 24 = 27 27 + -6x = -3 + -2(x + -9) Reorder the terms: 27 + -6x = -3 + -2(-9 + x) 27 + -6x = -3 + (-9 * -2 + x * -2) 27 + -6x = -3 + (18 + -2x) Combine like terms: -3 + 18 = 15 27 + -6x = 15 + -2x Solving 27 + -6x = 15 + -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. 27 + -6x + 2x = 15 + -2x + 2x Combine like terms: -6x + 2x = -4x 27 + -4x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 27 + -4x = 15 + 0 27 + -4x = 15 Add '-27' to each side of the equation. 27 + -27 + -4x = 15 + -27 Combine like terms: 27 + -27 = 0 0 + -4x = 15 + -27 -4x = 15 + -27 Combine like terms: 15 + -27 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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