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Simplifying 6(x + -1) + -2(x + 1) = 3(x + -3) Reorder the terms: 6(-1 + x) + -2(x + 1) = 3(x + -3) (-1 * 6 + x * 6) + -2(x + 1) = 3(x + -3) (-6 + 6x) + -2(x + 1) = 3(x + -3) Reorder the terms: -6 + 6x + -2(1 + x) = 3(x + -3) -6 + 6x + (1 * -2 + x * -2) = 3(x + -3) -6 + 6x + (-2 + -2x) = 3(x + -3) Reorder the terms: -6 + -2 + 6x + -2x = 3(x + -3) Combine like terms: -6 + -2 = -8 -8 + 6x + -2x = 3(x + -3) Combine like terms: 6x + -2x = 4x -8 + 4x = 3(x + -3) Reorder the terms: -8 + 4x = 3(-3 + x) -8 + 4x = (-3 * 3 + x * 3) -8 + 4x = (-9 + 3x) Solving -8 + 4x = -9 + 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 + 4x + -3x = -9 + 3x + -3x Combine like terms: 4x + -3x = 1x -8 + 1x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 1x = -9 + 0 -8 + 1x = -9 Add '8' to each side of the equation. -8 + 8 + 1x = -9 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -9 + 8 1x = -9 + 8 Combine like terms: -9 + 8 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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