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Simplifying 6(x + -2) + -1(x + 1) = 2(x + 3) Reorder the terms: 6(-2 + x) + -1(x + 1) = 2(x + 3) (-2 * 6 + x * 6) + -1(x + 1) = 2(x + 3) (-12 + 6x) + -1(x + 1) = 2(x + 3) Reorder the terms: -12 + 6x + -1(1 + x) = 2(x + 3) -12 + 6x + (1 * -1 + x * -1) = 2(x + 3) -12 + 6x + (-1 + -1x) = 2(x + 3) Reorder the terms: -12 + -1 + 6x + -1x = 2(x + 3) Combine like terms: -12 + -1 = -13 -13 + 6x + -1x = 2(x + 3) Combine like terms: 6x + -1x = 5x -13 + 5x = 2(x + 3) Reorder the terms: -13 + 5x = 2(3 + x) -13 + 5x = (3 * 2 + x * 2) -13 + 5x = (6 + 2x) Solving -13 + 5x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -13 + 5x + -2x = 6 + 2x + -2x Combine like terms: 5x + -2x = 3x -13 + 3x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + 3x = 6 + 0 -13 + 3x = 6 Add '13' to each side of the equation. -13 + 13 + 3x = 6 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = 6 + 13 3x = 6 + 13 Combine like terms: 6 + 13 = 19 3x = 19 Divide each side by '3'. x = 6.333333333 Simplifying x = 6.333333333
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