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Simplifying 6 = 5(x + -3) + -1(x + -9) Reorder the terms: 6 = 5(-3 + x) + -1(x + -9) 6 = (-3 * 5 + x * 5) + -1(x + -9) 6 = (-15 + 5x) + -1(x + -9) Reorder the terms: 6 = -15 + 5x + -1(-9 + x) 6 = -15 + 5x + (-9 * -1 + x * -1) 6 = -15 + 5x + (9 + -1x) Reorder the terms: 6 = -15 + 9 + 5x + -1x Combine like terms: -15 + 9 = -6 6 = -6 + 5x + -1x Combine like terms: 5x + -1x = 4x 6 = -6 + 4x Solving 6 = -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. 6 + -4x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -4x = -6 + 0 6 + -4x = -6 Add '-6' to each side of the equation. 6 + -6 + -4x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -6 + -6 -4x = -6 + -6 Combine like terms: -6 + -6 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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