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Simplifying -10(1 + x) + 3(7 + 3x) = 9 + -5x + -10 + 3 (1 * -10 + x * -10) + 3(7 + 3x) = 9 + -5x + -10 + 3 (-10 + -10x) + 3(7 + 3x) = 9 + -5x + -10 + 3 -10 + -10x + (7 * 3 + 3x * 3) = 9 + -5x + -10 + 3 -10 + -10x + (21 + 9x) = 9 + -5x + -10 + 3 Reorder the terms: -10 + 21 + -10x + 9x = 9 + -5x + -10 + 3 Combine like terms: -10 + 21 = 11 11 + -10x + 9x = 9 + -5x + -10 + 3 Combine like terms: -10x + 9x = -1x 11 + -1x = 9 + -5x + -10 + 3 Reorder the terms: 11 + -1x = 9 + -10 + 3 + -5x Combine like terms: 9 + -10 = -1 11 + -1x = -1 + 3 + -5x Combine like terms: -1 + 3 = 2 11 + -1x = 2 + -5x Solving 11 + -1x = 2 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 11 + -1x + 5x = 2 + -5x + 5x Combine like terms: -1x + 5x = 4x 11 + 4x = 2 + -5x + 5x Combine like terms: -5x + 5x = 0 11 + 4x = 2 + 0 11 + 4x = 2 Add '-11' to each side of the equation. 11 + -11 + 4x = 2 + -11 Combine like terms: 11 + -11 = 0 0 + 4x = 2 + -11 4x = 2 + -11 Combine like terms: 2 + -11 = -9 4x = -9 Divide each side by '4'. x = -2.25 Simplifying x = -2.25
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