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Simplifying 4(7 + -3x) + -8 = 6(2x + -4) + 4 (7 * 4 + -3x * 4) + -8 = 6(2x + -4) + 4 (28 + -12x) + -8 = 6(2x + -4) + 4 Reorder the terms: 28 + -8 + -12x = 6(2x + -4) + 4 Combine like terms: 28 + -8 = 20 20 + -12x = 6(2x + -4) + 4 Reorder the terms: 20 + -12x = 6(-4 + 2x) + 4 20 + -12x = (-4 * 6 + 2x * 6) + 4 20 + -12x = (-24 + 12x) + 4 Reorder the terms: 20 + -12x = -24 + 4 + 12x Combine like terms: -24 + 4 = -20 20 + -12x = -20 + 12x Solving 20 + -12x = -20 + 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 + -12x + -12x = -20 + 12x + -12x Combine like terms: -12x + -12x = -24x 20 + -24x = -20 + 12x + -12x Combine like terms: 12x + -12x = 0 20 + -24x = -20 + 0 20 + -24x = -20 Add '-20' to each side of the equation. 20 + -20 + -24x = -20 + -20 Combine like terms: 20 + -20 = 0 0 + -24x = -20 + -20 -24x = -20 + -20 Combine like terms: -20 + -20 = -40 -24x = -40 Divide each side by '-24'. x = 1.666666667 Simplifying x = 1.666666667
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