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Simplifying -6(x + 3) + 4(3x + -4) = 5(x + -3) + 8 Reorder the terms: -6(3 + x) + 4(3x + -4) = 5(x + -3) + 8 (3 * -6 + x * -6) + 4(3x + -4) = 5(x + -3) + 8 (-18 + -6x) + 4(3x + -4) = 5(x + -3) + 8 Reorder the terms: -18 + -6x + 4(-4 + 3x) = 5(x + -3) + 8 -18 + -6x + (-4 * 4 + 3x * 4) = 5(x + -3) + 8 -18 + -6x + (-16 + 12x) = 5(x + -3) + 8 Reorder the terms: -18 + -16 + -6x + 12x = 5(x + -3) + 8 Combine like terms: -18 + -16 = -34 -34 + -6x + 12x = 5(x + -3) + 8 Combine like terms: -6x + 12x = 6x -34 + 6x = 5(x + -3) + 8 Reorder the terms: -34 + 6x = 5(-3 + x) + 8 -34 + 6x = (-3 * 5 + x * 5) + 8 -34 + 6x = (-15 + 5x) + 8 Reorder the terms: -34 + 6x = -15 + 8 + 5x Combine like terms: -15 + 8 = -7 -34 + 6x = -7 + 5x Solving -34 + 6x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -34 + 6x + -5x = -7 + 5x + -5x Combine like terms: 6x + -5x = 1x -34 + 1x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -34 + 1x = -7 + 0 -34 + 1x = -7 Add '34' to each side of the equation. -34 + 34 + 1x = -7 + 34 Combine like terms: -34 + 34 = 0 0 + 1x = -7 + 34 1x = -7 + 34 Combine like terms: -7 + 34 = 27 1x = 27 Divide each side by '1'. x = 27 Simplifying x = 27
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