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Simplifying 4(2x + -5) + 2 = 3(4x + -6) + 8 Reorder the terms: 4(-5 + 2x) + 2 = 3(4x + -6) + 8 (-5 * 4 + 2x * 4) + 2 = 3(4x + -6) + 8 (-20 + 8x) + 2 = 3(4x + -6) + 8 Reorder the terms: -20 + 2 + 8x = 3(4x + -6) + 8 Combine like terms: -20 + 2 = -18 -18 + 8x = 3(4x + -6) + 8 Reorder the terms: -18 + 8x = 3(-6 + 4x) + 8 -18 + 8x = (-6 * 3 + 4x * 3) + 8 -18 + 8x = (-18 + 12x) + 8 Reorder the terms: -18 + 8x = -18 + 8 + 12x Combine like terms: -18 + 8 = -10 -18 + 8x = -10 + 12x Solving -18 + 8x = -10 + 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. -18 + 8x + -12x = -10 + 12x + -12x Combine like terms: 8x + -12x = -4x -18 + -4x = -10 + 12x + -12x Combine like terms: 12x + -12x = 0 -18 + -4x = -10 + 0 -18 + -4x = -10 Add '18' to each side of the equation. -18 + 18 + -4x = -10 + 18 Combine like terms: -18 + 18 = 0 0 + -4x = -10 + 18 -4x = -10 + 18 Combine like terms: -10 + 18 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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