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Simplifying 4x + -6(-1x + 17) = -172 Reorder the terms: 4x + -6(17 + -1x) = -172 4x + (17 * -6 + -1x * -6) = -172 4x + (-102 + 6x) = -172 Reorder the terms: -102 + 4x + 6x = -172 Combine like terms: 4x + 6x = 10x -102 + 10x = -172 Solving -102 + 10x = -172 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '102' to each side of the equation. -102 + 102 + 10x = -172 + 102 Combine like terms: -102 + 102 = 0 0 + 10x = -172 + 102 10x = -172 + 102 Combine like terms: -172 + 102 = -70 10x = -70 Divide each side by '10'. x = -7 Simplifying x = -7
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