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Simplifying 10(x + -6) + -4 = 19x + -172 Reorder the terms: 10(-6 + x) + -4 = 19x + -172 (-6 * 10 + x * 10) + -4 = 19x + -172 (-60 + 10x) + -4 = 19x + -172 Reorder the terms: -60 + -4 + 10x = 19x + -172 Combine like terms: -60 + -4 = -64 -64 + 10x = 19x + -172 Reorder the terms: -64 + 10x = -172 + 19x Solving -64 + 10x = -172 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -64 + 10x + -19x = -172 + 19x + -19x Combine like terms: 10x + -19x = -9x -64 + -9x = -172 + 19x + -19x Combine like terms: 19x + -19x = 0 -64 + -9x = -172 + 0 -64 + -9x = -172 Add '64' to each side of the equation. -64 + 64 + -9x = -172 + 64 Combine like terms: -64 + 64 = 0 0 + -9x = -172 + 64 -9x = -172 + 64 Combine like terms: -172 + 64 = -108 -9x = -108 Divide each side by '-9'. x = 12 Simplifying x = 12
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