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Simplifying (3x + 4) + -2(x + -4) = 4(x + 6) + 5x Reorder the terms: (4 + 3x) + -2(x + -4) = 4(x + 6) + 5x Remove parenthesis around (4 + 3x) 4 + 3x + -2(x + -4) = 4(x + 6) + 5x Reorder the terms: 4 + 3x + -2(-4 + x) = 4(x + 6) + 5x 4 + 3x + (-4 * -2 + x * -2) = 4(x + 6) + 5x 4 + 3x + (8 + -2x) = 4(x + 6) + 5x Reorder the terms: 4 + 8 + 3x + -2x = 4(x + 6) + 5x Combine like terms: 4 + 8 = 12 12 + 3x + -2x = 4(x + 6) + 5x Combine like terms: 3x + -2x = 1x 12 + 1x = 4(x + 6) + 5x Reorder the terms: 12 + 1x = 4(6 + x) + 5x 12 + 1x = (6 * 4 + x * 4) + 5x 12 + 1x = (24 + 4x) + 5x Combine like terms: 4x + 5x = 9x 12 + 1x = 24 + 9x Solving 12 + 1x = 24 + 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 + 1x + -9x = 24 + 9x + -9x Combine like terms: 1x + -9x = -8x 12 + -8x = 24 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -8x = 24 + 0 12 + -8x = 24 Add '-12' to each side of the equation. 12 + -12 + -8x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = 24 + -12 -8x = 24 + -12 Combine like terms: 24 + -12 = 12 -8x = 12 Divide each side by '-8'. x = -1.5 Simplifying x = -1.5
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