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Simplifying 3(x + 2) + -5(2 + -3x) = 17 + -1x Reorder the terms: 3(2 + x) + -5(2 + -3x) = 17 + -1x (2 * 3 + x * 3) + -5(2 + -3x) = 17 + -1x (6 + 3x) + -5(2 + -3x) = 17 + -1x 6 + 3x + (2 * -5 + -3x * -5) = 17 + -1x 6 + 3x + (-10 + 15x) = 17 + -1x Reorder the terms: 6 + -10 + 3x + 15x = 17 + -1x Combine like terms: 6 + -10 = -4 -4 + 3x + 15x = 17 + -1x Combine like terms: 3x + 15x = 18x -4 + 18x = 17 + -1x Solving -4 + 18x = 17 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -4 + 18x + x = 17 + -1x + x Combine like terms: 18x + x = 19x -4 + 19x = 17 + -1x + x Combine like terms: -1x + x = 0 -4 + 19x = 17 + 0 -4 + 19x = 17 Add '4' to each side of the equation. -4 + 4 + 19x = 17 + 4 Combine like terms: -4 + 4 = 0 0 + 19x = 17 + 4 19x = 17 + 4 Combine like terms: 17 + 4 = 21 19x = 21 Divide each side by '19'. x = 1.105263158 Simplifying x = 1.105263158
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