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Simplifying 10(x + -12) + -9 = 19x + -174 Reorder the terms: 10(-12 + x) + -9 = 19x + -174 (-12 * 10 + x * 10) + -9 = 19x + -174 (-120 + 10x) + -9 = 19x + -174 Reorder the terms: -120 + -9 + 10x = 19x + -174 Combine like terms: -120 + -9 = -129 -129 + 10x = 19x + -174 Reorder the terms: -129 + 10x = -174 + 19x Solving -129 + 10x = -174 + 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. -129 + 10x + -19x = -174 + 19x + -19x Combine like terms: 10x + -19x = -9x -129 + -9x = -174 + 19x + -19x Combine like terms: 19x + -19x = 0 -129 + -9x = -174 + 0 -129 + -9x = -174 Add '129' to each side of the equation. -129 + 129 + -9x = -174 + 129 Combine like terms: -129 + 129 = 0 0 + -9x = -174 + 129 -9x = -174 + 129 Combine like terms: -174 + 129 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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