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Simplifying 9x + -1(2x + -3) = 4(x + 1) + 4x Reorder the terms: 9x + -1(-3 + 2x) = 4(x + 1) + 4x 9x + (-3 * -1 + 2x * -1) = 4(x + 1) + 4x 9x + (3 + -2x) = 4(x + 1) + 4x Reorder the terms: 3 + 9x + -2x = 4(x + 1) + 4x Combine like terms: 9x + -2x = 7x 3 + 7x = 4(x + 1) + 4x Reorder the terms: 3 + 7x = 4(1 + x) + 4x 3 + 7x = (1 * 4 + x * 4) + 4x 3 + 7x = (4 + 4x) + 4x Combine like terms: 4x + 4x = 8x 3 + 7x = 4 + 8x Solving 3 + 7x = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 3 + 7x + -8x = 4 + 8x + -8x Combine like terms: 7x + -8x = -1x 3 + -1x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -1x = 4 + 0 3 + -1x = 4 Add '-3' to each side of the equation. 3 + -3 + -1x = 4 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 4 + -3 -1x = 4 + -3 Combine like terms: 4 + -3 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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