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Simplifying 3(2x + -5) + -2(4x + -7) = 7x + 17 Reorder the terms: 3(-5 + 2x) + -2(4x + -7) = 7x + 17 (-5 * 3 + 2x * 3) + -2(4x + -7) = 7x + 17 (-15 + 6x) + -2(4x + -7) = 7x + 17 Reorder the terms: -15 + 6x + -2(-7 + 4x) = 7x + 17 -15 + 6x + (-7 * -2 + 4x * -2) = 7x + 17 -15 + 6x + (14 + -8x) = 7x + 17 Reorder the terms: -15 + 14 + 6x + -8x = 7x + 17 Combine like terms: -15 + 14 = -1 -1 + 6x + -8x = 7x + 17 Combine like terms: 6x + -8x = -2x -1 + -2x = 7x + 17 Reorder the terms: -1 + -2x = 17 + 7x Solving -1 + -2x = 17 + 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. -1 + -2x + -7x = 17 + 7x + -7x Combine like terms: -2x + -7x = -9x -1 + -9x = 17 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -9x = 17 + 0 -1 + -9x = 17 Add '1' to each side of the equation. -1 + 1 + -9x = 17 + 1 Combine like terms: -1 + 1 = 0 0 + -9x = 17 + 1 -9x = 17 + 1 Combine like terms: 17 + 1 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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