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Simplifying 4(x + 12) + -9(x + -21) = -12 + -2(x + 15) Reorder the terms: 4(12 + x) + -9(x + -21) = -12 + -2(x + 15) (12 * 4 + x * 4) + -9(x + -21) = -12 + -2(x + 15) (48 + 4x) + -9(x + -21) = -12 + -2(x + 15) Reorder the terms: 48 + 4x + -9(-21 + x) = -12 + -2(x + 15) 48 + 4x + (-21 * -9 + x * -9) = -12 + -2(x + 15) 48 + 4x + (189 + -9x) = -12 + -2(x + 15) Reorder the terms: 48 + 189 + 4x + -9x = -12 + -2(x + 15) Combine like terms: 48 + 189 = 237 237 + 4x + -9x = -12 + -2(x + 15) Combine like terms: 4x + -9x = -5x 237 + -5x = -12 + -2(x + 15) Reorder the terms: 237 + -5x = -12 + -2(15 + x) 237 + -5x = -12 + (15 * -2 + x * -2) 237 + -5x = -12 + (-30 + -2x) Combine like terms: -12 + -30 = -42 237 + -5x = -42 + -2x Solving 237 + -5x = -42 + -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. 237 + -5x + 2x = -42 + -2x + 2x Combine like terms: -5x + 2x = -3x 237 + -3x = -42 + -2x + 2x Combine like terms: -2x + 2x = 0 237 + -3x = -42 + 0 237 + -3x = -42 Add '-237' to each side of the equation. 237 + -237 + -3x = -42 + -237 Combine like terms: 237 + -237 = 0 0 + -3x = -42 + -237 -3x = -42 + -237 Combine like terms: -42 + -237 = -279 -3x = -279 Divide each side by '-3'. x = 93 Simplifying x = 93
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