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Simplifying 4(x + -9) + -3(x + -15) = 2x + -3 Reorder the terms: 4(-9 + x) + -3(x + -15) = 2x + -3 (-9 * 4 + x * 4) + -3(x + -15) = 2x + -3 (-36 + 4x) + -3(x + -15) = 2x + -3 Reorder the terms: -36 + 4x + -3(-15 + x) = 2x + -3 -36 + 4x + (-15 * -3 + x * -3) = 2x + -3 -36 + 4x + (45 + -3x) = 2x + -3 Reorder the terms: -36 + 45 + 4x + -3x = 2x + -3 Combine like terms: -36 + 45 = 9 9 + 4x + -3x = 2x + -3 Combine like terms: 4x + -3x = 1x 9 + 1x = 2x + -3 Reorder the terms: 9 + 1x = -3 + 2x Solving 9 + 1x = -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. 9 + 1x + -2x = -3 + 2x + -2x Combine like terms: 1x + -2x = -1x 9 + -1x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + -1x = -3 + 0 9 + -1x = -3 Add '-9' to each side of the equation. 9 + -9 + -1x = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = -3 + -9 -1x = -3 + -9 Combine like terms: -3 + -9 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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