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Simplifying (x + -2) = 15x + -10(x + -1) + 28 Reorder the terms: (-2 + x) = 15x + -10(x + -1) + 28 Remove parenthesis around (-2 + x) -2 + x = 15x + -10(x + -1) + 28 Reorder the terms: -2 + x = 15x + -10(-1 + x) + 28 -2 + x = 15x + (-1 * -10 + x * -10) + 28 -2 + x = 15x + (10 + -10x) + 28 Reorder the terms: -2 + x = 10 + 28 + 15x + -10x Combine like terms: 10 + 28 = 38 -2 + x = 38 + 15x + -10x Combine like terms: 15x + -10x = 5x -2 + x = 38 + 5x Solving -2 + x = 38 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + x + -5x = 38 + 5x + -5x Combine like terms: x + -5x = -4x -2 + -4x = 38 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -4x = 38 + 0 -2 + -4x = 38 Add '2' to each side of the equation. -2 + 2 + -4x = 38 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = 38 + 2 -4x = 38 + 2 Combine like terms: 38 + 2 = 40 -4x = 40 Divide each side by '-4'. x = -10 Simplifying x = -10
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