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Simplifying 4 + 3(3x + -4) = 2(4x + 5) Reorder the terms: 4 + 3(-4 + 3x) = 2(4x + 5) 4 + (-4 * 3 + 3x * 3) = 2(4x + 5) 4 + (-12 + 9x) = 2(4x + 5) Combine like terms: 4 + -12 = -8 -8 + 9x = 2(4x + 5) Reorder the terms: -8 + 9x = 2(5 + 4x) -8 + 9x = (5 * 2 + 4x * 2) -8 + 9x = (10 + 8x) Solving -8 + 9x = 10 + 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. -8 + 9x + -8x = 10 + 8x + -8x Combine like terms: 9x + -8x = 1x -8 + 1x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + 1x = 10 + 0 -8 + 1x = 10 Add '8' to each side of the equation. -8 + 8 + 1x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 10 + 8 1x = 10 + 8 Combine like terms: 10 + 8 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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