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Simplifying -1(4x + -17) = 6(x + -3) Reorder the terms: -1(-17 + 4x) = 6(x + -3) (-17 * -1 + 4x * -1) = 6(x + -3) (17 + -4x) = 6(x + -3) Reorder the terms: 17 + -4x = 6(-3 + x) 17 + -4x = (-3 * 6 + x * 6) 17 + -4x = (-18 + 6x) Solving 17 + -4x = -18 + 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. 17 + -4x + -6x = -18 + 6x + -6x Combine like terms: -4x + -6x = -10x 17 + -10x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + -10x = -18 + 0 17 + -10x = -18 Add '-17' to each side of the equation. 17 + -17 + -10x = -18 + -17 Combine like terms: 17 + -17 = 0 0 + -10x = -18 + -17 -10x = -18 + -17 Combine like terms: -18 + -17 = -35 -10x = -35 Divide each side by '-10'. x = 3.5 Simplifying x = 3.5
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