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Simplifying 3 + 2(x + -6) = 10 + -3(x + -1) Reorder the terms: 3 + 2(-6 + x) = 10 + -3(x + -1) 3 + (-6 * 2 + x * 2) = 10 + -3(x + -1) 3 + (-12 + 2x) = 10 + -3(x + -1) Combine like terms: 3 + -12 = -9 -9 + 2x = 10 + -3(x + -1) Reorder the terms: -9 + 2x = 10 + -3(-1 + x) -9 + 2x = 10 + (-1 * -3 + x * -3) -9 + 2x = 10 + (3 + -3x) Combine like terms: 10 + 3 = 13 -9 + 2x = 13 + -3x Solving -9 + 2x = 13 + -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. -9 + 2x + 3x = 13 + -3x + 3x Combine like terms: 2x + 3x = 5x -9 + 5x = 13 + -3x + 3x Combine like terms: -3x + 3x = 0 -9 + 5x = 13 + 0 -9 + 5x = 13 Add '9' to each side of the equation. -9 + 9 + 5x = 13 + 9 Combine like terms: -9 + 9 = 0 0 + 5x = 13 + 9 5x = 13 + 9 Combine like terms: 13 + 9 = 22 5x = 22 Divide each side by '5'. x = 4.4 Simplifying x = 4.4
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