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Simplifying 3(3x + -4) = 4(2x + 10) Reorder the terms: 3(-4 + 3x) = 4(2x + 10) (-4 * 3 + 3x * 3) = 4(2x + 10) (-12 + 9x) = 4(2x + 10) Reorder the terms: -12 + 9x = 4(10 + 2x) -12 + 9x = (10 * 4 + 2x * 4) -12 + 9x = (40 + 8x) Solving -12 + 9x = 40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -12 + 9x + -8x = 40 + 8x + -8x Combine like terms: 9x + -8x = 1x -12 + 1x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + 1x = 40 + 0 -12 + 1x = 40 Add '12' to each side of the equation. -12 + 12 + 1x = 40 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 40 + 12 1x = 40 + 12 Combine like terms: 40 + 12 = 52 1x = 52 Divide each side by '1'. x = 52 Simplifying x = 52
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