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Simplifying 5(3x + 3) + -2(2x + -1) = 2(5x + -8) + -4(-2x + -2) Reorder the terms: 5(3 + 3x) + -2(2x + -1) = 2(5x + -8) + -4(-2x + -2) (3 * 5 + 3x * 5) + -2(2x + -1) = 2(5x + -8) + -4(-2x + -2) (15 + 15x) + -2(2x + -1) = 2(5x + -8) + -4(-2x + -2) Reorder the terms: 15 + 15x + -2(-1 + 2x) = 2(5x + -8) + -4(-2x + -2) 15 + 15x + (-1 * -2 + 2x * -2) = 2(5x + -8) + -4(-2x + -2) 15 + 15x + (2 + -4x) = 2(5x + -8) + -4(-2x + -2) Reorder the terms: 15 + 2 + 15x + -4x = 2(5x + -8) + -4(-2x + -2) Combine like terms: 15 + 2 = 17 17 + 15x + -4x = 2(5x + -8) + -4(-2x + -2) Combine like terms: 15x + -4x = 11x 17 + 11x = 2(5x + -8) + -4(-2x + -2) Reorder the terms: 17 + 11x = 2(-8 + 5x) + -4(-2x + -2) 17 + 11x = (-8 * 2 + 5x * 2) + -4(-2x + -2) 17 + 11x = (-16 + 10x) + -4(-2x + -2) Reorder the terms: 17 + 11x = -16 + 10x + -4(-2 + -2x) 17 + 11x = -16 + 10x + (-2 * -4 + -2x * -4) 17 + 11x = -16 + 10x + (8 + 8x) Reorder the terms: 17 + 11x = -16 + 8 + 10x + 8x Combine like terms: -16 + 8 = -8 17 + 11x = -8 + 10x + 8x Combine like terms: 10x + 8x = 18x 17 + 11x = -8 + 18x Solving 17 + 11x = -8 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 17 + 11x + -18x = -8 + 18x + -18x Combine like terms: 11x + -18x = -7x 17 + -7x = -8 + 18x + -18x Combine like terms: 18x + -18x = 0 17 + -7x = -8 + 0 17 + -7x = -8 Add '-17' to each side of the equation. 17 + -17 + -7x = -8 + -17 Combine like terms: 17 + -17 = 0 0 + -7x = -8 + -17 -7x = -8 + -17 Combine like terms: -8 + -17 = -25 -7x = -25 Divide each side by '-7'. x = 3.571428571 Simplifying x = 3.571428571
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