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Simplifying 1(x + 3) + -1(-9x + -4) = x + -5 + 3 Reorder the terms: 1(3 + x) + -1(-9x + -4) = x + -5 + 3 (3 * 1 + x * 1) + -1(-9x + -4) = x + -5 + 3 (3 + 1x) + -1(-9x + -4) = x + -5 + 3 Reorder the terms: 3 + 1x + -1(-4 + -9x) = x + -5 + 3 3 + 1x + (-4 * -1 + -9x * -1) = x + -5 + 3 3 + 1x + (4 + 9x) = x + -5 + 3 Reorder the terms: 3 + 4 + 1x + 9x = x + -5 + 3 Combine like terms: 3 + 4 = 7 7 + 1x + 9x = x + -5 + 3 Combine like terms: 1x + 9x = 10x 7 + 10x = x + -5 + 3 Reorder the terms: 7 + 10x = -5 + 3 + x Combine like terms: -5 + 3 = -2 7 + 10x = -2 + x Solving 7 + 10x = -2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + 10x + -1x = -2 + x + -1x Combine like terms: 10x + -1x = 9x 7 + 9x = -2 + x + -1x Combine like terms: x + -1x = 0 7 + 9x = -2 + 0 7 + 9x = -2 Add '-7' to each side of the equation. 7 + -7 + 9x = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = -2 + -7 9x = -2 + -7 Combine like terms: -2 + -7 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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