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Simplifying 3(x + -1) + 2(x + -3) = 6(3x + -2) Reorder the terms: 3(-1 + x) + 2(x + -3) = 6(3x + -2) (-1 * 3 + x * 3) + 2(x + -3) = 6(3x + -2) (-3 + 3x) + 2(x + -3) = 6(3x + -2) Reorder the terms: -3 + 3x + 2(-3 + x) = 6(3x + -2) -3 + 3x + (-3 * 2 + x * 2) = 6(3x + -2) -3 + 3x + (-6 + 2x) = 6(3x + -2) Reorder the terms: -3 + -6 + 3x + 2x = 6(3x + -2) Combine like terms: -3 + -6 = -9 -9 + 3x + 2x = 6(3x + -2) Combine like terms: 3x + 2x = 5x -9 + 5x = 6(3x + -2) Reorder the terms: -9 + 5x = 6(-2 + 3x) -9 + 5x = (-2 * 6 + 3x * 6) -9 + 5x = (-12 + 18x) Solving -9 + 5x = -12 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -9 + 5x + -18x = -12 + 18x + -18x Combine like terms: 5x + -18x = -13x -9 + -13x = -12 + 18x + -18x Combine like terms: 18x + -18x = 0 -9 + -13x = -12 + 0 -9 + -13x = -12 Add '9' to each side of the equation. -9 + 9 + -13x = -12 + 9 Combine like terms: -9 + 9 = 0 0 + -13x = -12 + 9 -13x = -12 + 9 Combine like terms: -12 + 9 = -3 -13x = -3 Divide each side by '-13'. x = 0.2307692308 Simplifying x = 0.2307692308
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