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Simplifying 3(x + -7) + -2(x + 2) + 9 + x = -10 Reorder the terms: 3(-7 + x) + -2(x + 2) + 9 + x = -10 (-7 * 3 + x * 3) + -2(x + 2) + 9 + x = -10 (-21 + 3x) + -2(x + 2) + 9 + x = -10 Reorder the terms: -21 + 3x + -2(2 + x) + 9 + x = -10 -21 + 3x + (2 * -2 + x * -2) + 9 + x = -10 -21 + 3x + (-4 + -2x) + 9 + x = -10 Reorder the terms: -21 + -4 + 9 + 3x + -2x + x = -10 Combine like terms: -21 + -4 = -25 -25 + 9 + 3x + -2x + x = -10 Combine like terms: -25 + 9 = -16 -16 + 3x + -2x + x = -10 Combine like terms: 3x + -2x = 1x -16 + 1x + x = -10 Combine like terms: 1x + x = 2x -16 + 2x = -10 Solving -16 + 2x = -10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 2x = -10 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = -10 + 16 2x = -10 + 16 Combine like terms: -10 + 16 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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