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Simplifying 3(x + -1) + 5(x + -3) + -2(x + 6) = 6 Reorder the terms: 3(-1 + x) + 5(x + -3) + -2(x + 6) = 6 (-1 * 3 + x * 3) + 5(x + -3) + -2(x + 6) = 6 (-3 + 3x) + 5(x + -3) + -2(x + 6) = 6 Reorder the terms: -3 + 3x + 5(-3 + x) + -2(x + 6) = 6 -3 + 3x + (-3 * 5 + x * 5) + -2(x + 6) = 6 -3 + 3x + (-15 + 5x) + -2(x + 6) = 6 Reorder the terms: -3 + 3x + -15 + 5x + -2(6 + x) = 6 -3 + 3x + -15 + 5x + (6 * -2 + x * -2) = 6 -3 + 3x + -15 + 5x + (-12 + -2x) = 6 Reorder the terms: -3 + -15 + -12 + 3x + 5x + -2x = 6 Combine like terms: -3 + -15 = -18 -18 + -12 + 3x + 5x + -2x = 6 Combine like terms: -18 + -12 = -30 -30 + 3x + 5x + -2x = 6 Combine like terms: 3x + 5x = 8x -30 + 8x + -2x = 6 Combine like terms: 8x + -2x = 6x -30 + 6x = 6 Solving -30 + 6x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 6x = 6 + 30 Combine like terms: -30 + 30 = 0 0 + 6x = 6 + 30 6x = 6 + 30 Combine like terms: 6 + 30 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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