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Simplifying -3(x + -6) + 4(x + 1) = 7 + -10 Reorder the terms: -3(-6 + x) + 4(x + 1) = 7 + -10 (-6 * -3 + x * -3) + 4(x + 1) = 7 + -10 (18 + -3x) + 4(x + 1) = 7 + -10 Reorder the terms: 18 + -3x + 4(1 + x) = 7 + -10 18 + -3x + (1 * 4 + x * 4) = 7 + -10 18 + -3x + (4 + 4x) = 7 + -10 Reorder the terms: 18 + 4 + -3x + 4x = 7 + -10 Combine like terms: 18 + 4 = 22 22 + -3x + 4x = 7 + -10 Combine like terms: -3x + 4x = 1x 22 + 1x = 7 + -10 Combine like terms: 7 + -10 = -3 22 + 1x = -3 Solving 22 + 1x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 1x = -3 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = -3 + -22 1x = -3 + -22 Combine like terms: -3 + -22 = -25 1x = -25 Divide each side by '1'. x = -25 Simplifying x = -25
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