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Simplifying 3(5x + 4) + -2 + (5x + -3) = 5 + (2x + -6) Reorder the terms: 3(4 + 5x) + -2 + (5x + -3) = 5 + (2x + -6) (4 * 3 + 5x * 3) + -2 + (5x + -3) = 5 + (2x + -6) (12 + 15x) + -2 + (5x + -3) = 5 + (2x + -6) Reorder the terms: 12 + 15x + -2 + (-3 + 5x) = 5 + (2x + -6) Remove parenthesis around (-3 + 5x) 12 + 15x + -2 + -3 + 5x = 5 + (2x + -6) Reorder the terms: 12 + -2 + -3 + 15x + 5x = 5 + (2x + -6) Combine like terms: 12 + -2 = 10 10 + -3 + 15x + 5x = 5 + (2x + -6) Combine like terms: 10 + -3 = 7 7 + 15x + 5x = 5 + (2x + -6) Combine like terms: 15x + 5x = 20x 7 + 20x = 5 + (2x + -6) Reorder the terms: 7 + 20x = 5 + (-6 + 2x) Remove parenthesis around (-6 + 2x) 7 + 20x = 5 + -6 + 2x Combine like terms: 5 + -6 = -1 7 + 20x = -1 + 2x Solving 7 + 20x = -1 + 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. 7 + 20x + -2x = -1 + 2x + -2x Combine like terms: 20x + -2x = 18x 7 + 18x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 18x = -1 + 0 7 + 18x = -1 Add '-7' to each side of the equation. 7 + -7 + 18x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 18x = -1 + -7 18x = -1 + -7 Combine like terms: -1 + -7 = -8 18x = -8 Divide each side by '18'. x = -0.4444444444 Simplifying x = -0.4444444444
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