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Simplifying 3(2x + -4) + -8 = 5(x + -4) + 4x + -9 Reorder the terms: 3(-4 + 2x) + -8 = 5(x + -4) + 4x + -9 (-4 * 3 + 2x * 3) + -8 = 5(x + -4) + 4x + -9 (-12 + 6x) + -8 = 5(x + -4) + 4x + -9 Reorder the terms: -12 + -8 + 6x = 5(x + -4) + 4x + -9 Combine like terms: -12 + -8 = -20 -20 + 6x = 5(x + -4) + 4x + -9 Reorder the terms: -20 + 6x = 5(-4 + x) + 4x + -9 -20 + 6x = (-4 * 5 + x * 5) + 4x + -9 -20 + 6x = (-20 + 5x) + 4x + -9 Reorder the terms: -20 + 6x = -20 + -9 + 5x + 4x Combine like terms: -20 + -9 = -29 -20 + 6x = -29 + 5x + 4x Combine like terms: 5x + 4x = 9x -20 + 6x = -29 + 9x Solving -20 + 6x = -29 + 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. -20 + 6x + -9x = -29 + 9x + -9x Combine like terms: 6x + -9x = -3x -20 + -3x = -29 + 9x + -9x Combine like terms: 9x + -9x = 0 -20 + -3x = -29 + 0 -20 + -3x = -29 Add '20' to each side of the equation. -20 + 20 + -3x = -29 + 20 Combine like terms: -20 + 20 = 0 0 + -3x = -29 + 20 -3x = -29 + 20 Combine like terms: -29 + 20 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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