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Simplifying 9x + -4(x + -1) = -4 + 7x + 10 Reorder the terms: 9x + -4(-1 + x) = -4 + 7x + 10 9x + (-1 * -4 + x * -4) = -4 + 7x + 10 9x + (4 + -4x) = -4 + 7x + 10 Reorder the terms: 4 + 9x + -4x = -4 + 7x + 10 Combine like terms: 9x + -4x = 5x 4 + 5x = -4 + 7x + 10 Reorder the terms: 4 + 5x = -4 + 10 + 7x Combine like terms: -4 + 10 = 6 4 + 5x = 6 + 7x Solving 4 + 5x = 6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + 5x + -7x = 6 + 7x + -7x Combine like terms: 5x + -7x = -2x 4 + -2x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -2x = 6 + 0 4 + -2x = 6 Add '-4' to each side of the equation. 4 + -4 + -2x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 6 + -4 -2x = 6 + -4 Combine like terms: 6 + -4 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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