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Simplifying 3(x + -2) + -1(3x + 2) = 4(2x + 6) Reorder the terms: 3(-2 + x) + -1(3x + 2) = 4(2x + 6) (-2 * 3 + x * 3) + -1(3x + 2) = 4(2x + 6) (-6 + 3x) + -1(3x + 2) = 4(2x + 6) Reorder the terms: -6 + 3x + -1(2 + 3x) = 4(2x + 6) -6 + 3x + (2 * -1 + 3x * -1) = 4(2x + 6) -6 + 3x + (-2 + -3x) = 4(2x + 6) Reorder the terms: -6 + -2 + 3x + -3x = 4(2x + 6) Combine like terms: -6 + -2 = -8 -8 + 3x + -3x = 4(2x + 6) Combine like terms: 3x + -3x = 0 -8 + 0 = 4(2x + 6) -8 = 4(2x + 6) Reorder the terms: -8 = 4(6 + 2x) -8 = (6 * 4 + 2x * 4) -8 = (24 + 8x) Solving -8 = 24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8 + -8x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -8x = 24 + 0 -8 + -8x = 24 Add '8' to each side of the equation. -8 + 8 + -8x = 24 + 8 Combine like terms: -8 + 8 = 0 0 + -8x = 24 + 8 -8x = 24 + 8 Combine like terms: 24 + 8 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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