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Simplifying 3x + -4(x + -2) = 2x + -10 Reorder the terms: 3x + -4(-2 + x) = 2x + -10 3x + (-2 * -4 + x * -4) = 2x + -10 3x + (8 + -4x) = 2x + -10 Reorder the terms: 8 + 3x + -4x = 2x + -10 Combine like terms: 3x + -4x = -1x 8 + -1x = 2x + -10 Reorder the terms: 8 + -1x = -10 + 2x Solving 8 + -1x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + -1x + -2x = -10 + 2x + -2x Combine like terms: -1x + -2x = -3x 8 + -3x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -3x = -10 + 0 8 + -3x = -10 Add '-8' to each side of the equation. 8 + -8 + -3x = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = -10 + -8 -3x = -10 + -8 Combine like terms: -10 + -8 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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