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Simplifying 10 + -4(x + 2) = 7 + x Reorder the terms: 10 + -4(2 + x) = 7 + x 10 + (2 * -4 + x * -4) = 7 + x 10 + (-8 + -4x) = 7 + x Combine like terms: 10 + -8 = 2 2 + -4x = 7 + x Solving 2 + -4x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2 + -4x + -1x = 7 + x + -1x Combine like terms: -4x + -1x = -5x 2 + -5x = 7 + x + -1x Combine like terms: x + -1x = 0 2 + -5x = 7 + 0 2 + -5x = 7 Add '-2' to each side of the equation. 2 + -2 + -5x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 7 + -2 -5x = 7 + -2 Combine like terms: 7 + -2 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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