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Simplifying (1x + -4) + 6x = 2(0.5x + 10) + -4 Reorder the terms: (-4 + 1x) + 6x = 2(0.5x + 10) + -4 Remove parenthesis around (-4 + 1x) -4 + 1x + 6x = 2(0.5x + 10) + -4 Combine like terms: 1x + 6x = 7x -4 + 7x = 2(0.5x + 10) + -4 Reorder the terms: -4 + 7x = 2(10 + 0.5x) + -4 -4 + 7x = (10 * 2 + 0.5x * 2) + -4 -4 + 7x = (20 + 1x) + -4 Reorder the terms: -4 + 7x = 20 + -4 + 1x Combine like terms: 20 + -4 = 16 -4 + 7x = 16 + 1x Solving -4 + 7x = 16 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + 7x + -1x = 16 + 1x + -1x Combine like terms: 7x + -1x = 6x -4 + 6x = 16 + 1x + -1x Combine like terms: 1x + -1x = 0 -4 + 6x = 16 + 0 -4 + 6x = 16 Add '4' to each side of the equation. -4 + 4 + 6x = 16 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 16 + 4 6x = 16 + 4 Combine like terms: 16 + 4 = 20 6x = 20 Divide each side by '6'. x = 3.333333333 Simplifying x = 3.333333333
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