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Simplifying 3 + 10(x + 10) = 7(x + -2) + 9 Reorder the terms: 3 + 10(10 + x) = 7(x + -2) + 9 3 + (10 * 10 + x * 10) = 7(x + -2) + 9 3 + (100 + 10x) = 7(x + -2) + 9 Combine like terms: 3 + 100 = 103 103 + 10x = 7(x + -2) + 9 Reorder the terms: 103 + 10x = 7(-2 + x) + 9 103 + 10x = (-2 * 7 + x * 7) + 9 103 + 10x = (-14 + 7x) + 9 Reorder the terms: 103 + 10x = -14 + 9 + 7x Combine like terms: -14 + 9 = -5 103 + 10x = -5 + 7x Solving 103 + 10x = -5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 103 + 10x + -7x = -5 + 7x + -7x Combine like terms: 10x + -7x = 3x 103 + 3x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 103 + 3x = -5 + 0 103 + 3x = -5 Add '-103' to each side of the equation. 103 + -103 + 3x = -5 + -103 Combine like terms: 103 + -103 = 0 0 + 3x = -5 + -103 3x = -5 + -103 Combine like terms: -5 + -103 = -108 3x = -108 Divide each side by '3'. x = -36 Simplifying x = -36
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