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Simplifying 4(x + -5) = 2(6x + -1) + 14 Reorder the terms: 4(-5 + x) = 2(6x + -1) + 14 (-5 * 4 + x * 4) = 2(6x + -1) + 14 (-20 + 4x) = 2(6x + -1) + 14 Reorder the terms: -20 + 4x = 2(-1 + 6x) + 14 -20 + 4x = (-1 * 2 + 6x * 2) + 14 -20 + 4x = (-2 + 12x) + 14 Reorder the terms: -20 + 4x = -2 + 14 + 12x Combine like terms: -2 + 14 = 12 -20 + 4x = 12 + 12x Solving -20 + 4x = 12 + 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. -20 + 4x + -12x = 12 + 12x + -12x Combine like terms: 4x + -12x = -8x -20 + -8x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -20 + -8x = 12 + 0 -20 + -8x = 12 Add '20' to each side of the equation. -20 + 20 + -8x = 12 + 20 Combine like terms: -20 + 20 = 0 0 + -8x = 12 + 20 -8x = 12 + 20 Combine like terms: 12 + 20 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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