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Simplifying 4(3 + -4x) + -4 = 6 + -3(x + 8) (3 * 4 + -4x * 4) + -4 = 6 + -3(x + 8) (12 + -16x) + -4 = 6 + -3(x + 8) Reorder the terms: 12 + -4 + -16x = 6 + -3(x + 8) Combine like terms: 12 + -4 = 8 8 + -16x = 6 + -3(x + 8) Reorder the terms: 8 + -16x = 6 + -3(8 + x) 8 + -16x = 6 + (8 * -3 + x * -3) 8 + -16x = 6 + (-24 + -3x) Combine like terms: 6 + -24 = -18 8 + -16x = -18 + -3x Solving 8 + -16x = -18 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8 + -16x + 3x = -18 + -3x + 3x Combine like terms: -16x + 3x = -13x 8 + -13x = -18 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + -13x = -18 + 0 8 + -13x = -18 Add '-8' to each side of the equation. 8 + -8 + -13x = -18 + -8 Combine like terms: 8 + -8 = 0 0 + -13x = -18 + -8 -13x = -18 + -8 Combine like terms: -18 + -8 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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