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Simplifying 3(5x + -3) + -5(2x + 3) = x + -17 Reorder the terms: 3(-3 + 5x) + -5(2x + 3) = x + -17 (-3 * 3 + 5x * 3) + -5(2x + 3) = x + -17 (-9 + 15x) + -5(2x + 3) = x + -17 Reorder the terms: -9 + 15x + -5(3 + 2x) = x + -17 -9 + 15x + (3 * -5 + 2x * -5) = x + -17 -9 + 15x + (-15 + -10x) = x + -17 Reorder the terms: -9 + -15 + 15x + -10x = x + -17 Combine like terms: -9 + -15 = -24 -24 + 15x + -10x = x + -17 Combine like terms: 15x + -10x = 5x -24 + 5x = x + -17 Reorder the terms: -24 + 5x = -17 + x Solving -24 + 5x = -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. -24 + 5x + -1x = -17 + x + -1x Combine like terms: 5x + -1x = 4x -24 + 4x = -17 + x + -1x Combine like terms: x + -1x = 0 -24 + 4x = -17 + 0 -24 + 4x = -17 Add '24' to each side of the equation. -24 + 24 + 4x = -17 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = -17 + 24 4x = -17 + 24 Combine like terms: -17 + 24 = 7 4x = 7 Divide each side by '4'. x = 1.75 Simplifying x = 1.75
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