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Simplifying 10(1x + 2) = 6(1x + -3) Reorder the terms: 10(2 + 1x) = 6(1x + -3) (2 * 10 + 1x * 10) = 6(1x + -3) (20 + 10x) = 6(1x + -3) Reorder the terms: 20 + 10x = 6(-3 + 1x) 20 + 10x = (-3 * 6 + 1x * 6) 20 + 10x = (-18 + 6x) Solving 20 + 10x = -18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 20 + 10x + -6x = -18 + 6x + -6x Combine like terms: 10x + -6x = 4x 20 + 4x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + 4x = -18 + 0 20 + 4x = -18 Add '-20' to each side of the equation. 20 + -20 + 4x = -18 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = -18 + -20 4x = -18 + -20 Combine like terms: -18 + -20 = -38 4x = -38 Divide each side by '4'. x = -9.5 Simplifying x = -9.5
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