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Simplifying 3x + 10 = 9(x + -1) + 7 Reorder the terms: 10 + 3x = 9(x + -1) + 7 Reorder the terms: 10 + 3x = 9(-1 + x) + 7 10 + 3x = (-1 * 9 + x * 9) + 7 10 + 3x = (-9 + 9x) + 7 Reorder the terms: 10 + 3x = -9 + 7 + 9x Combine like terms: -9 + 7 = -2 10 + 3x = -2 + 9x Solving 10 + 3x = -2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 10 + 3x + -9x = -2 + 9x + -9x Combine like terms: 3x + -9x = -6x 10 + -6x = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + -6x = -2 + 0 10 + -6x = -2 Add '-10' to each side of the equation. 10 + -10 + -6x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = -2 + -10 -6x = -2 + -10 Combine like terms: -2 + -10 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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