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Simplifying 2(4x + 6) = 9x + -3 Reorder the terms: 2(6 + 4x) = 9x + -3 (6 * 2 + 4x * 2) = 9x + -3 (12 + 8x) = 9x + -3 Reorder the terms: 12 + 8x = -3 + 9x Solving 12 + 8x = -3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + 8x + -9x = -3 + 9x + -9x Combine like terms: 8x + -9x = -1x 12 + -1x = -3 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -1x = -3 + 0 12 + -1x = -3 Add '-12' to each side of the equation. 12 + -12 + -1x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = -3 + -12 -1x = -3 + -12 Combine like terms: -3 + -12 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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