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Simplifying 3x + -5 + -9(x + -1) = 2(x + -3) Reorder the terms: 3x + -5 + -9(-1 + x) = 2(x + -3) 3x + -5 + (-1 * -9 + x * -9) = 2(x + -3) 3x + -5 + (9 + -9x) = 2(x + -3) Reorder the terms: -5 + 9 + 3x + -9x = 2(x + -3) Combine like terms: -5 + 9 = 4 4 + 3x + -9x = 2(x + -3) Combine like terms: 3x + -9x = -6x 4 + -6x = 2(x + -3) Reorder the terms: 4 + -6x = 2(-3 + x) 4 + -6x = (-3 * 2 + x * 2) 4 + -6x = (-6 + 2x) Solving 4 + -6x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + -6x + -2x = -6 + 2x + -2x Combine like terms: -6x + -2x = -8x 4 + -8x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -8x = -6 + 0 4 + -8x = -6 Add '-4' to each side of the equation. 4 + -4 + -8x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -8x = -6 + -4 -8x = -6 + -4 Combine like terms: -6 + -4 = -10 -8x = -10 Divide each side by '-8'. x = 1.25 Simplifying x = 1.25
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