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Simplifying -1(2x + 3) + -2(x + 2) + -10 = 6x + 20 Reorder the terms: -1(3 + 2x) + -2(x + 2) + -10 = 6x + 20 (3 * -1 + 2x * -1) + -2(x + 2) + -10 = 6x + 20 (-3 + -2x) + -2(x + 2) + -10 = 6x + 20 Reorder the terms: -3 + -2x + -2(2 + x) + -10 = 6x + 20 -3 + -2x + (2 * -2 + x * -2) + -10 = 6x + 20 -3 + -2x + (-4 + -2x) + -10 = 6x + 20 Reorder the terms: -3 + -4 + -10 + -2x + -2x = 6x + 20 Combine like terms: -3 + -4 = -7 -7 + -10 + -2x + -2x = 6x + 20 Combine like terms: -7 + -10 = -17 -17 + -2x + -2x = 6x + 20 Combine like terms: -2x + -2x = -4x -17 + -4x = 6x + 20 Reorder the terms: -17 + -4x = 20 + 6x Solving -17 + -4x = 20 + 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. -17 + -4x + -6x = 20 + 6x + -6x Combine like terms: -4x + -6x = -10x -17 + -10x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 -17 + -10x = 20 + 0 -17 + -10x = 20 Add '17' to each side of the equation. -17 + 17 + -10x = 20 + 17 Combine like terms: -17 + 17 = 0 0 + -10x = 20 + 17 -10x = 20 + 17 Combine like terms: 20 + 17 = 37 -10x = 37 Divide each side by '-10'. x = -3.7 Simplifying x = -3.7
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