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Simplifying 10(3 + -1x) + 2(x + -2) = 6(2x + -2) (3 * 10 + -1x * 10) + 2(x + -2) = 6(2x + -2) (30 + -10x) + 2(x + -2) = 6(2x + -2) Reorder the terms: 30 + -10x + 2(-2 + x) = 6(2x + -2) 30 + -10x + (-2 * 2 + x * 2) = 6(2x + -2) 30 + -10x + (-4 + 2x) = 6(2x + -2) Reorder the terms: 30 + -4 + -10x + 2x = 6(2x + -2) Combine like terms: 30 + -4 = 26 26 + -10x + 2x = 6(2x + -2) Combine like terms: -10x + 2x = -8x 26 + -8x = 6(2x + -2) Reorder the terms: 26 + -8x = 6(-2 + 2x) 26 + -8x = (-2 * 6 + 2x * 6) 26 + -8x = (-12 + 12x) Solving 26 + -8x = -12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 26 + -8x + -12x = -12 + 12x + -12x Combine like terms: -8x + -12x = -20x 26 + -20x = -12 + 12x + -12x Combine like terms: 12x + -12x = 0 26 + -20x = -12 + 0 26 + -20x = -12 Add '-26' to each side of the equation. 26 + -26 + -20x = -12 + -26 Combine like terms: 26 + -26 = 0 0 + -20x = -12 + -26 -20x = -12 + -26 Combine like terms: -12 + -26 = -38 -20x = -38 Divide each side by '-20'. x = 1.9 Simplifying x = 1.9
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