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Simplifying 8x + 9 + -4x = 5x + -2(-1x + 9) Reorder the terms: 9 + 8x + -4x = 5x + -2(-1x + 9) Combine like terms: 8x + -4x = 4x 9 + 4x = 5x + -2(-1x + 9) Reorder the terms: 9 + 4x = 5x + -2(9 + -1x) 9 + 4x = 5x + (9 * -2 + -1x * -2) 9 + 4x = 5x + (-18 + 2x) Reorder the terms: 9 + 4x = -18 + 5x + 2x Combine like terms: 5x + 2x = 7x 9 + 4x = -18 + 7x Solving 9 + 4x = -18 + 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. 9 + 4x + -7x = -18 + 7x + -7x Combine like terms: 4x + -7x = -3x 9 + -3x = -18 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + -3x = -18 + 0 9 + -3x = -18 Add '-9' to each side of the equation. 9 + -9 + -3x = -18 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = -18 + -9 -3x = -18 + -9 Combine like terms: -18 + -9 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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