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Simplifying 3(x + -5) + 6 = x + -1(9 + -2) Reorder the terms: 3(-5 + x) + 6 = x + -1(9 + -2) (-5 * 3 + x * 3) + 6 = x + -1(9 + -2) (-15 + 3x) + 6 = x + -1(9 + -2) Reorder the terms: -15 + 6 + 3x = x + -1(9 + -2) Combine like terms: -15 + 6 = -9 -9 + 3x = x + -1(9 + -2) Combine like terms: 9 + -2 = 7 -9 + 3x = x + -1(7) Multiply -1 * 7 -9 + 3x = x + -7 Reorder the terms: -9 + 3x = -7 + x Solving -9 + 3x = -7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -9 + 3x + -1x = -7 + x + -1x Combine like terms: 3x + -1x = 2x -9 + 2x = -7 + x + -1x Combine like terms: x + -1x = 0 -9 + 2x = -7 + 0 -9 + 2x = -7 Add '9' to each side of the equation. -9 + 9 + 2x = -7 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = -7 + 9 2x = -7 + 9 Combine like terms: -7 + 9 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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