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Simplifying 5 + -1(x + 9) = 6x + 3(x + 2) Reorder the terms: 5 + -1(9 + x) = 6x + 3(x + 2) 5 + (9 * -1 + x * -1) = 6x + 3(x + 2) 5 + (-9 + -1x) = 6x + 3(x + 2) Combine like terms: 5 + -9 = -4 -4 + -1x = 6x + 3(x + 2) Reorder the terms: -4 + -1x = 6x + 3(2 + x) -4 + -1x = 6x + (2 * 3 + x * 3) -4 + -1x = 6x + (6 + 3x) Reorder the terms: -4 + -1x = 6 + 6x + 3x Combine like terms: 6x + 3x = 9x -4 + -1x = 6 + 9x Solving -4 + -1x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -4 + -1x + -9x = 6 + 9x + -9x Combine like terms: -1x + -9x = -10x -4 + -10x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 -4 + -10x = 6 + 0 -4 + -10x = 6 Add '4' to each side of the equation. -4 + 4 + -10x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -10x = 6 + 4 -10x = 6 + 4 Combine like terms: 6 + 4 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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