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Simplifying 3(x + -2) + 4(2x + -6) = (x + -4) + 8(2x + 1) Reorder the terms: 3(-2 + x) + 4(2x + -6) = (x + -4) + 8(2x + 1) (-2 * 3 + x * 3) + 4(2x + -6) = (x + -4) + 8(2x + 1) (-6 + 3x) + 4(2x + -6) = (x + -4) + 8(2x + 1) Reorder the terms: -6 + 3x + 4(-6 + 2x) = (x + -4) + 8(2x + 1) -6 + 3x + (-6 * 4 + 2x * 4) = (x + -4) + 8(2x + 1) -6 + 3x + (-24 + 8x) = (x + -4) + 8(2x + 1) Reorder the terms: -6 + -24 + 3x + 8x = (x + -4) + 8(2x + 1) Combine like terms: -6 + -24 = -30 -30 + 3x + 8x = (x + -4) + 8(2x + 1) Combine like terms: 3x + 8x = 11x -30 + 11x = (x + -4) + 8(2x + 1) Reorder the terms: -30 + 11x = (-4 + x) + 8(2x + 1) Remove parenthesis around (-4 + x) -30 + 11x = -4 + x + 8(2x + 1) Reorder the terms: -30 + 11x = -4 + x + 8(1 + 2x) -30 + 11x = -4 + x + (1 * 8 + 2x * 8) -30 + 11x = -4 + x + (8 + 16x) Reorder the terms: -30 + 11x = -4 + 8 + x + 16x Combine like terms: -4 + 8 = 4 -30 + 11x = 4 + x + 16x Combine like terms: x + 16x = 17x -30 + 11x = 4 + 17x Solving -30 + 11x = 4 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -30 + 11x + -17x = 4 + 17x + -17x Combine like terms: 11x + -17x = -6x -30 + -6x = 4 + 17x + -17x Combine like terms: 17x + -17x = 0 -30 + -6x = 4 + 0 -30 + -6x = 4 Add '30' to each side of the equation. -30 + 30 + -6x = 4 + 30 Combine like terms: -30 + 30 = 0 0 + -6x = 4 + 30 -6x = 4 + 30 Combine like terms: 4 + 30 = 34 -6x = 34 Divide each side by '-6'. x = -5.666666667 Simplifying x = -5.666666667
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