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Simplifying 2 = 5(x + -3) + -1(x + -9) Reorder the terms: 2 = 5(-3 + x) + -1(x + -9) 2 = (-3 * 5 + x * 5) + -1(x + -9) 2 = (-15 + 5x) + -1(x + -9) Reorder the terms: 2 = -15 + 5x + -1(-9 + x) 2 = -15 + 5x + (-9 * -1 + x * -1) 2 = -15 + 5x + (9 + -1x) Reorder the terms: 2 = -15 + 9 + 5x + -1x Combine like terms: -15 + 9 = -6 2 = -6 + 5x + -1x Combine like terms: 5x + -1x = 4x 2 = -6 + 4x Solving 2 = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + -4x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -4x = -6 + 0 2 + -4x = -6 Add '-2' to each side of the equation. 2 + -2 + -4x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = -6 + -2 -4x = -6 + -2 Combine like terms: -6 + -2 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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