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Simplifying 4(2x + 3) = 3(3x + -2) Reorder the terms: 4(3 + 2x) = 3(3x + -2) (3 * 4 + 2x * 4) = 3(3x + -2) (12 + 8x) = 3(3x + -2) Reorder the terms: 12 + 8x = 3(-2 + 3x) 12 + 8x = (-2 * 3 + 3x * 3) 12 + 8x = (-6 + 9x) Solving 12 + 8x = -6 + 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 = -6 + 9x + -9x Combine like terms: 8x + -9x = -1x 12 + -1x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -1x = -6 + 0 12 + -1x = -6 Add '-12' to each side of the equation. 12 + -12 + -1x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = -6 + -12 -1x = -6 + -12 Combine like terms: -6 + -12 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18
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