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Simplifying 4(x + 3) + -2(3x + -1) = 10 Reorder the terms: 4(3 + x) + -2(3x + -1) = 10 (3 * 4 + x * 4) + -2(3x + -1) = 10 (12 + 4x) + -2(3x + -1) = 10 Reorder the terms: 12 + 4x + -2(-1 + 3x) = 10 12 + 4x + (-1 * -2 + 3x * -2) = 10 12 + 4x + (2 + -6x) = 10 Reorder the terms: 12 + 2 + 4x + -6x = 10 Combine like terms: 12 + 2 = 14 14 + 4x + -6x = 10 Combine like terms: 4x + -6x = -2x 14 + -2x = 10 Solving 14 + -2x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -2x = 10 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = 10 + -14 -2x = 10 + -14 Combine like terms: 10 + -14 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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