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Simplifying 2(3 + -4x) + -5(2x + 3) = x + -17 (3 * 2 + -4x * 2) + -5(2x + 3) = x + -17 (6 + -8x) + -5(2x + 3) = x + -17 Reorder the terms: 6 + -8x + -5(3 + 2x) = x + -17 6 + -8x + (3 * -5 + 2x * -5) = x + -17 6 + -8x + (-15 + -10x) = x + -17 Reorder the terms: 6 + -15 + -8x + -10x = x + -17 Combine like terms: 6 + -15 = -9 -9 + -8x + -10x = x + -17 Combine like terms: -8x + -10x = -18x -9 + -18x = x + -17 Reorder the terms: -9 + -18x = -17 + x Solving -9 + -18x = -17 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -9 + -18x + -1x = -17 + x + -1x Combine like terms: -18x + -1x = -19x -9 + -19x = -17 + x + -1x Combine like terms: x + -1x = 0 -9 + -19x = -17 + 0 -9 + -19x = -17 Add '9' to each side of the equation. -9 + 9 + -19x = -17 + 9 Combine like terms: -9 + 9 = 0 0 + -19x = -17 + 9 -19x = -17 + 9 Combine like terms: -17 + 9 = -8 -19x = -8 Divide each side by '-19'. x = 0.4210526316 Simplifying x = 0.4210526316
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