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Simplifying -1(x + -2) + 8 = 4 + 6(2x + 4) Reorder the terms: -1(-2 + x) + 8 = 4 + 6(2x + 4) (-2 * -1 + x * -1) + 8 = 4 + 6(2x + 4) (2 + -1x) + 8 = 4 + 6(2x + 4) Reorder the terms: 2 + 8 + -1x = 4 + 6(2x + 4) Combine like terms: 2 + 8 = 10 10 + -1x = 4 + 6(2x + 4) Reorder the terms: 10 + -1x = 4 + 6(4 + 2x) 10 + -1x = 4 + (4 * 6 + 2x * 6) 10 + -1x = 4 + (24 + 12x) Combine like terms: 4 + 24 = 28 10 + -1x = 28 + 12x Solving 10 + -1x = 28 + 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. 10 + -1x + -12x = 28 + 12x + -12x Combine like terms: -1x + -12x = -13x 10 + -13x = 28 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + -13x = 28 + 0 10 + -13x = 28 Add '-10' to each side of the equation. 10 + -10 + -13x = 28 + -10 Combine like terms: 10 + -10 = 0 0 + -13x = 28 + -10 -13x = 28 + -10 Combine like terms: 28 + -10 = 18 -13x = 18 Divide each side by '-13'. x = -1.384615385 Simplifying x = -1.384615385
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