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Simplifying 17 + -5(2x + -9) = -1(6x + -10) + 14 Reorder the terms: 17 + -5(-9 + 2x) = -1(6x + -10) + 14 17 + (-9 * -5 + 2x * -5) = -1(6x + -10) + 14 17 + (45 + -10x) = -1(6x + -10) + 14 Combine like terms: 17 + 45 = 62 62 + -10x = -1(6x + -10) + 14 Reorder the terms: 62 + -10x = -1(-10 + 6x) + 14 62 + -10x = (-10 * -1 + 6x * -1) + 14 62 + -10x = (10 + -6x) + 14 Reorder the terms: 62 + -10x = 10 + 14 + -6x Combine like terms: 10 + 14 = 24 62 + -10x = 24 + -6x Solving 62 + -10x = 24 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 62 + -10x + 6x = 24 + -6x + 6x Combine like terms: -10x + 6x = -4x 62 + -4x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 62 + -4x = 24 + 0 62 + -4x = 24 Add '-62' to each side of the equation. 62 + -62 + -4x = 24 + -62 Combine like terms: 62 + -62 = 0 0 + -4x = 24 + -62 -4x = 24 + -62 Combine like terms: 24 + -62 = -38 -4x = -38 Divide each side by '-4'. x = 9.5 Simplifying x = 9.5
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