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Simplifying 7x + -4(x + -1) = -2 + 5x + 10 Reorder the terms: 7x + -4(-1 + x) = -2 + 5x + 10 7x + (-1 * -4 + x * -4) = -2 + 5x + 10 7x + (4 + -4x) = -2 + 5x + 10 Reorder the terms: 4 + 7x + -4x = -2 + 5x + 10 Combine like terms: 7x + -4x = 3x 4 + 3x = -2 + 5x + 10 Reorder the terms: 4 + 3x = -2 + 10 + 5x Combine like terms: -2 + 10 = 8 4 + 3x = 8 + 5x Solving 4 + 3x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + 3x + -5x = 8 + 5x + -5x Combine like terms: 3x + -5x = -2x 4 + -2x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -2x = 8 + 0 4 + -2x = 8 Add '-4' to each side of the equation. 4 + -4 + -2x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 8 + -4 -2x = 8 + -4 Combine like terms: 8 + -4 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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