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Simplifying -5(x + 2) + 4(3x + -6) = 6(x + -4) + 8 Reorder the terms: -5(2 + x) + 4(3x + -6) = 6(x + -4) + 8 (2 * -5 + x * -5) + 4(3x + -6) = 6(x + -4) + 8 (-10 + -5x) + 4(3x + -6) = 6(x + -4) + 8 Reorder the terms: -10 + -5x + 4(-6 + 3x) = 6(x + -4) + 8 -10 + -5x + (-6 * 4 + 3x * 4) = 6(x + -4) + 8 -10 + -5x + (-24 + 12x) = 6(x + -4) + 8 Reorder the terms: -10 + -24 + -5x + 12x = 6(x + -4) + 8 Combine like terms: -10 + -24 = -34 -34 + -5x + 12x = 6(x + -4) + 8 Combine like terms: -5x + 12x = 7x -34 + 7x = 6(x + -4) + 8 Reorder the terms: -34 + 7x = 6(-4 + x) + 8 -34 + 7x = (-4 * 6 + x * 6) + 8 -34 + 7x = (-24 + 6x) + 8 Reorder the terms: -34 + 7x = -24 + 8 + 6x Combine like terms: -24 + 8 = -16 -34 + 7x = -16 + 6x Solving -34 + 7x = -16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -34 + 7x + -6x = -16 + 6x + -6x Combine like terms: 7x + -6x = 1x -34 + 1x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 -34 + 1x = -16 + 0 -34 + 1x = -16 Add '34' to each side of the equation. -34 + 34 + 1x = -16 + 34 Combine like terms: -34 + 34 = 0 0 + 1x = -16 + 34 1x = -16 + 34 Combine like terms: -16 + 34 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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