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Simplifying 4x + (7 + -2x) + 3 = 2x + -5(x + -9) Remove parenthesis around (7 + -2x) 4x + 7 + -2x + 3 = 2x + -5(x + -9) Reorder the terms: 7 + 3 + 4x + -2x = 2x + -5(x + -9) Combine like terms: 7 + 3 = 10 10 + 4x + -2x = 2x + -5(x + -9) Combine like terms: 4x + -2x = 2x 10 + 2x = 2x + -5(x + -9) Reorder the terms: 10 + 2x = 2x + -5(-9 + x) 10 + 2x = 2x + (-9 * -5 + x * -5) 10 + 2x = 2x + (45 + -5x) Reorder the terms: 10 + 2x = 45 + 2x + -5x Combine like terms: 2x + -5x = -3x 10 + 2x = 45 + -3x Solving 10 + 2x = 45 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 10 + 2x + 3x = 45 + -3x + 3x Combine like terms: 2x + 3x = 5x 10 + 5x = 45 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 5x = 45 + 0 10 + 5x = 45 Add '-10' to each side of the equation. 10 + -10 + 5x = 45 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 45 + -10 5x = 45 + -10 Combine like terms: 45 + -10 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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