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Simplifying 10x + 9 = 3 + 2(x + -5) Reorder the terms: 9 + 10x = 3 + 2(x + -5) Reorder the terms: 9 + 10x = 3 + 2(-5 + x) 9 + 10x = 3 + (-5 * 2 + x * 2) 9 + 10x = 3 + (-10 + 2x) Combine like terms: 3 + -10 = -7 9 + 10x = -7 + 2x Solving 9 + 10x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9 + 10x + -2x = -7 + 2x + -2x Combine like terms: 10x + -2x = 8x 9 + 8x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 8x = -7 + 0 9 + 8x = -7 Add '-9' to each side of the equation. 9 + -9 + 8x = -7 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = -7 + -9 8x = -7 + -9 Combine like terms: -7 + -9 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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