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Simplifying 12x + -8x + 9 = 18(12x + -15) Reorder the terms: 9 + 12x + -8x = 18(12x + -15) Combine like terms: 12x + -8x = 4x 9 + 4x = 18(12x + -15) Reorder the terms: 9 + 4x = 18(-15 + 12x) 9 + 4x = (-15 * 18 + 12x * 18) 9 + 4x = (-270 + 216x) Solving 9 + 4x = -270 + 216x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-216x' to each side of the equation. 9 + 4x + -216x = -270 + 216x + -216x Combine like terms: 4x + -216x = -212x 9 + -212x = -270 + 216x + -216x Combine like terms: 216x + -216x = 0 9 + -212x = -270 + 0 9 + -212x = -270 Add '-9' to each side of the equation. 9 + -9 + -212x = -270 + -9 Combine like terms: 9 + -9 = 0 0 + -212x = -270 + -9 -212x = -270 + -9 Combine like terms: -270 + -9 = -279 -212x = -279 Divide each side by '-212'. x = 1.316037736 Simplifying x = 1.316037736
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