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Simplifying 6x + -1(4x + -2) = -2x + 48 + 18x + -1(6 + -10x) Reorder the terms: 6x + -1(-2 + 4x) = -2x + 48 + 18x + -1(6 + -10x) 6x + (-2 * -1 + 4x * -1) = -2x + 48 + 18x + -1(6 + -10x) 6x + (2 + -4x) = -2x + 48 + 18x + -1(6 + -10x) Reorder the terms: 2 + 6x + -4x = -2x + 48 + 18x + -1(6 + -10x) Combine like terms: 6x + -4x = 2x 2 + 2x = -2x + 48 + 18x + -1(6 + -10x) 2 + 2x = -2x + 48 + 18x + (6 * -1 + -10x * -1) 2 + 2x = -2x + 48 + 18x + (-6 + 10x) Reorder the terms: 2 + 2x = 48 + -6 + -2x + 18x + 10x Combine like terms: 48 + -6 = 42 2 + 2x = 42 + -2x + 18x + 10x Combine like terms: -2x + 18x = 16x 2 + 2x = 42 + 16x + 10x Combine like terms: 16x + 10x = 26x 2 + 2x = 42 + 26x Solving 2 + 2x = 42 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 2 + 2x + -26x = 42 + 26x + -26x Combine like terms: 2x + -26x = -24x 2 + -24x = 42 + 26x + -26x Combine like terms: 26x + -26x = 0 2 + -24x = 42 + 0 2 + -24x = 42 Add '-2' to each side of the equation. 2 + -2 + -24x = 42 + -2 Combine like terms: 2 + -2 = 0 0 + -24x = 42 + -2 -24x = 42 + -2 Combine like terms: 42 + -2 = 40 -24x = 40 Divide each side by '-24'. x = -1.666666667 Simplifying x = -1.666666667
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