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Simplifying 10x + 2(x + -7) + 4(2x + -3) = 134 Reorder the terms: 10x + 2(-7 + x) + 4(2x + -3) = 134 10x + (-7 * 2 + x * 2) + 4(2x + -3) = 134 10x + (-14 + 2x) + 4(2x + -3) = 134 Reorder the terms: 10x + -14 + 2x + 4(-3 + 2x) = 134 10x + -14 + 2x + (-3 * 4 + 2x * 4) = 134 10x + -14 + 2x + (-12 + 8x) = 134 Reorder the terms: -14 + -12 + 10x + 2x + 8x = 134 Combine like terms: -14 + -12 = -26 -26 + 10x + 2x + 8x = 134 Combine like terms: 10x + 2x = 12x -26 + 12x + 8x = 134 Combine like terms: 12x + 8x = 20x -26 + 20x = 134 Solving -26 + 20x = 134 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 20x = 134 + 26 Combine like terms: -26 + 26 = 0 0 + 20x = 134 + 26 20x = 134 + 26 Combine like terms: 134 + 26 = 160 20x = 160 Divide each side by '20'. x = 8 Simplifying x = 8
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