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Simplifying -3(-4x + -7) + -2(-3x + -8) = 6(2x + 4) + -5 Reorder the terms: -3(-7 + -4x) + -2(-3x + -8) = 6(2x + 4) + -5 (-7 * -3 + -4x * -3) + -2(-3x + -8) = 6(2x + 4) + -5 (21 + 12x) + -2(-3x + -8) = 6(2x + 4) + -5 Reorder the terms: 21 + 12x + -2(-8 + -3x) = 6(2x + 4) + -5 21 + 12x + (-8 * -2 + -3x * -2) = 6(2x + 4) + -5 21 + 12x + (16 + 6x) = 6(2x + 4) + -5 Reorder the terms: 21 + 16 + 12x + 6x = 6(2x + 4) + -5 Combine like terms: 21 + 16 = 37 37 + 12x + 6x = 6(2x + 4) + -5 Combine like terms: 12x + 6x = 18x 37 + 18x = 6(2x + 4) + -5 Reorder the terms: 37 + 18x = 6(4 + 2x) + -5 37 + 18x = (4 * 6 + 2x * 6) + -5 37 + 18x = (24 + 12x) + -5 Reorder the terms: 37 + 18x = 24 + -5 + 12x Combine like terms: 24 + -5 = 19 37 + 18x = 19 + 12x Solving 37 + 18x = 19 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 37 + 18x + -12x = 19 + 12x + -12x Combine like terms: 18x + -12x = 6x 37 + 6x = 19 + 12x + -12x Combine like terms: 12x + -12x = 0 37 + 6x = 19 + 0 37 + 6x = 19 Add '-37' to each side of the equation. 37 + -37 + 6x = 19 + -37 Combine like terms: 37 + -37 = 0 0 + 6x = 19 + -37 6x = 19 + -37 Combine like terms: 19 + -37 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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