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Simplifying 4(7x + -2) + -5(3x + -17) = 12x + 12 Reorder the terms: 4(-2 + 7x) + -5(3x + -17) = 12x + 12 (-2 * 4 + 7x * 4) + -5(3x + -17) = 12x + 12 (-8 + 28x) + -5(3x + -17) = 12x + 12 Reorder the terms: -8 + 28x + -5(-17 + 3x) = 12x + 12 -8 + 28x + (-17 * -5 + 3x * -5) = 12x + 12 -8 + 28x + (85 + -15x) = 12x + 12 Reorder the terms: -8 + 85 + 28x + -15x = 12x + 12 Combine like terms: -8 + 85 = 77 77 + 28x + -15x = 12x + 12 Combine like terms: 28x + -15x = 13x 77 + 13x = 12x + 12 Reorder the terms: 77 + 13x = 12 + 12x Solving 77 + 13x = 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. 77 + 13x + -12x = 12 + 12x + -12x Combine like terms: 13x + -12x = 1x 77 + 1x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 77 + 1x = 12 + 0 77 + 1x = 12 Add '-77' to each side of the equation. 77 + -77 + 1x = 12 + -77 Combine like terms: 77 + -77 = 0 0 + 1x = 12 + -77 1x = 12 + -77 Combine like terms: 12 + -77 = -65 1x = -65 Divide each side by '1'. x = -65 Simplifying x = -65
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