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Simplifying 5x + -1(x + -8) = 9 + 3(2x + -3) Reorder the terms: 5x + -1(-8 + x) = 9 + 3(2x + -3) 5x + (-8 * -1 + x * -1) = 9 + 3(2x + -3) 5x + (8 + -1x) = 9 + 3(2x + -3) Reorder the terms: 8 + 5x + -1x = 9 + 3(2x + -3) Combine like terms: 5x + -1x = 4x 8 + 4x = 9 + 3(2x + -3) Reorder the terms: 8 + 4x = 9 + 3(-3 + 2x) 8 + 4x = 9 + (-3 * 3 + 2x * 3) 8 + 4x = 9 + (-9 + 6x) Combine like terms: 9 + -9 = 0 8 + 4x = 0 + 6x 8 + 4x = 6x Solving 8 + 4x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + 4x + -6x = 6x + -6x Combine like terms: 4x + -6x = -2x 8 + -2x = 6x + -6x Combine like terms: 6x + -6x = 0 8 + -2x = 0 Add '-8' to each side of the equation. 8 + -8 + -2x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 0 + -8 -2x = 0 + -8 Combine like terms: 0 + -8 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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