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Simplifying 3(5x + 4 + -2x) + 5(3x + -9) = 2(8x + -1) + 3 + -9x Reorder the terms: 3(4 + 5x + -2x) + 5(3x + -9) = 2(8x + -1) + 3 + -9x Combine like terms: 5x + -2x = 3x 3(4 + 3x) + 5(3x + -9) = 2(8x + -1) + 3 + -9x (4 * 3 + 3x * 3) + 5(3x + -9) = 2(8x + -1) + 3 + -9x (12 + 9x) + 5(3x + -9) = 2(8x + -1) + 3 + -9x Reorder the terms: 12 + 9x + 5(-9 + 3x) = 2(8x + -1) + 3 + -9x 12 + 9x + (-9 * 5 + 3x * 5) = 2(8x + -1) + 3 + -9x 12 + 9x + (-45 + 15x) = 2(8x + -1) + 3 + -9x Reorder the terms: 12 + -45 + 9x + 15x = 2(8x + -1) + 3 + -9x Combine like terms: 12 + -45 = -33 -33 + 9x + 15x = 2(8x + -1) + 3 + -9x Combine like terms: 9x + 15x = 24x -33 + 24x = 2(8x + -1) + 3 + -9x Reorder the terms: -33 + 24x = 2(-1 + 8x) + 3 + -9x -33 + 24x = (-1 * 2 + 8x * 2) + 3 + -9x -33 + 24x = (-2 + 16x) + 3 + -9x Reorder the terms: -33 + 24x = -2 + 3 + 16x + -9x Combine like terms: -2 + 3 = 1 -33 + 24x = 1 + 16x + -9x Combine like terms: 16x + -9x = 7x -33 + 24x = 1 + 7x Solving -33 + 24x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -33 + 24x + -7x = 1 + 7x + -7x Combine like terms: 24x + -7x = 17x -33 + 17x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -33 + 17x = 1 + 0 -33 + 17x = 1 Add '33' to each side of the equation. -33 + 33 + 17x = 1 + 33 Combine like terms: -33 + 33 = 0 0 + 17x = 1 + 33 17x = 1 + 33 Combine like terms: 1 + 33 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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