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Simplifying 4(2x + -3) = 3(3x + 1) Reorder the terms: 4(-3 + 2x) = 3(3x + 1) (-3 * 4 + 2x * 4) = 3(3x + 1) (-12 + 8x) = 3(3x + 1) Reorder the terms: -12 + 8x = 3(1 + 3x) -12 + 8x = (1 * 3 + 3x * 3) -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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