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Simplifying 5(x + 2) + -3 = 3(x + 1) + 9x Reorder the terms: 5(2 + x) + -3 = 3(x + 1) + 9x (2 * 5 + x * 5) + -3 = 3(x + 1) + 9x (10 + 5x) + -3 = 3(x + 1) + 9x Reorder the terms: 10 + -3 + 5x = 3(x + 1) + 9x Combine like terms: 10 + -3 = 7 7 + 5x = 3(x + 1) + 9x Reorder the terms: 7 + 5x = 3(1 + x) + 9x 7 + 5x = (1 * 3 + x * 3) + 9x 7 + 5x = (3 + 3x) + 9x Combine like terms: 3x + 9x = 12x 7 + 5x = 3 + 12x Solving 7 + 5x = 3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 7 + 5x + -12x = 3 + 12x + -12x Combine like terms: 5x + -12x = -7x 7 + -7x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + -7x = 3 + 0 7 + -7x = 3 Add '-7' to each side of the equation. 7 + -7 + -7x = 3 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = 3 + -7 -7x = 3 + -7 Combine like terms: 3 + -7 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714
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