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Simplifying 10 = -5(x + -1) + 9(x + -3) Reorder the terms: 10 = -5(-1 + x) + 9(x + -3) 10 = (-1 * -5 + x * -5) + 9(x + -3) 10 = (5 + -5x) + 9(x + -3) Reorder the terms: 10 = 5 + -5x + 9(-3 + x) 10 = 5 + -5x + (-3 * 9 + x * 9) 10 = 5 + -5x + (-27 + 9x) Reorder the terms: 10 = 5 + -27 + -5x + 9x Combine like terms: 5 + -27 = -22 10 = -22 + -5x + 9x Combine like terms: -5x + 9x = 4x 10 = -22 + 4x Solving 10 = -22 + 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. 10 + -4x = -22 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -4x = -22 + 0 10 + -4x = -22 Add '-10' to each side of the equation. 10 + -10 + -4x = -22 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = -22 + -10 -4x = -22 + -10 Combine like terms: -22 + -10 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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