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Simplifying 3x + -2(x + 4) = 3x + 10 Reorder the terms: 3x + -2(4 + x) = 3x + 10 3x + (4 * -2 + x * -2) = 3x + 10 3x + (-8 + -2x) = 3x + 10 Reorder the terms: -8 + 3x + -2x = 3x + 10 Combine like terms: 3x + -2x = 1x -8 + 1x = 3x + 10 Reorder the terms: -8 + 1x = 10 + 3x Solving -8 + 1x = 10 + 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. -8 + 1x + -3x = 10 + 3x + -3x Combine like terms: 1x + -3x = -2x -8 + -2x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + -2x = 10 + 0 -8 + -2x = 10 Add '8' to each side of the equation. -8 + 8 + -2x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 10 + 8 -2x = 10 + 8 Combine like terms: 10 + 8 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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