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Simplifying 3 + -4(x + -3) + 2 = 10 + -3(x + 2) Reorder the terms: 3 + -4(-3 + x) + 2 = 10 + -3(x + 2) 3 + (-3 * -4 + x * -4) + 2 = 10 + -3(x + 2) 3 + (12 + -4x) + 2 = 10 + -3(x + 2) Reorder the terms: 3 + 12 + 2 + -4x = 10 + -3(x + 2) Combine like terms: 3 + 12 = 15 15 + 2 + -4x = 10 + -3(x + 2) Combine like terms: 15 + 2 = 17 17 + -4x = 10 + -3(x + 2) Reorder the terms: 17 + -4x = 10 + -3(2 + x) 17 + -4x = 10 + (2 * -3 + x * -3) 17 + -4x = 10 + (-6 + -3x) Combine like terms: 10 + -6 = 4 17 + -4x = 4 + -3x Solving 17 + -4x = 4 + -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. 17 + -4x + 3x = 4 + -3x + 3x Combine like terms: -4x + 3x = -1x 17 + -1x = 4 + -3x + 3x Combine like terms: -3x + 3x = 0 17 + -1x = 4 + 0 17 + -1x = 4 Add '-17' to each side of the equation. 17 + -17 + -1x = 4 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 4 + -17 -1x = 4 + -17 Combine like terms: 4 + -17 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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