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Simplifying -7 + 4(2x + -6) = 3(4x + -6) + -5 Reorder the terms: -7 + 4(-6 + 2x) = 3(4x + -6) + -5 -7 + (-6 * 4 + 2x * 4) = 3(4x + -6) + -5 -7 + (-24 + 8x) = 3(4x + -6) + -5 Combine like terms: -7 + -24 = -31 -31 + 8x = 3(4x + -6) + -5 Reorder the terms: -31 + 8x = 3(-6 + 4x) + -5 -31 + 8x = (-6 * 3 + 4x * 3) + -5 -31 + 8x = (-18 + 12x) + -5 Reorder the terms: -31 + 8x = -18 + -5 + 12x Combine like terms: -18 + -5 = -23 -31 + 8x = -23 + 12x Solving -31 + 8x = -23 + 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. -31 + 8x + -12x = -23 + 12x + -12x Combine like terms: 8x + -12x = -4x -31 + -4x = -23 + 12x + -12x Combine like terms: 12x + -12x = 0 -31 + -4x = -23 + 0 -31 + -4x = -23 Add '31' to each side of the equation. -31 + 31 + -4x = -23 + 31 Combine like terms: -31 + 31 = 0 0 + -4x = -23 + 31 -4x = -23 + 31 Combine like terms: -23 + 31 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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