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Simplifying 3(x + -6) + -1(2x + -3) = 3x + 20 Reorder the terms: 3(-6 + x) + -1(2x + -3) = 3x + 20 (-6 * 3 + x * 3) + -1(2x + -3) = 3x + 20 (-18 + 3x) + -1(2x + -3) = 3x + 20 Reorder the terms: -18 + 3x + -1(-3 + 2x) = 3x + 20 -18 + 3x + (-3 * -1 + 2x * -1) = 3x + 20 -18 + 3x + (3 + -2x) = 3x + 20 Reorder the terms: -18 + 3 + 3x + -2x = 3x + 20 Combine like terms: -18 + 3 = -15 -15 + 3x + -2x = 3x + 20 Combine like terms: 3x + -2x = 1x -15 + 1x = 3x + 20 Reorder the terms: -15 + 1x = 20 + 3x Solving -15 + 1x = 20 + 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. -15 + 1x + -3x = 20 + 3x + -3x Combine like terms: 1x + -3x = -2x -15 + -2x = 20 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + -2x = 20 + 0 -15 + -2x = 20 Add '15' to each side of the equation. -15 + 15 + -2x = 20 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = 20 + 15 -2x = 20 + 15 Combine like terms: 20 + 15 = 35 -2x = 35 Divide each side by '-2'. x = -17.5 Simplifying x = -17.5
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