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Simplifying 5(x + -1) + 2(3x + 2) = -3x + -1(-4x) + 70 + 50 + -1x Reorder the terms: 5(-1 + x) + 2(3x + 2) = -3x + -1(-4x) + 70 + 50 + -1x (-1 * 5 + x * 5) + 2(3x + 2) = -3x + -1(-4x) + 70 + 50 + -1x (-5 + 5x) + 2(3x + 2) = -3x + -1(-4x) + 70 + 50 + -1x Reorder the terms: -5 + 5x + 2(2 + 3x) = -3x + -1(-4x) + 70 + 50 + -1x -5 + 5x + (2 * 2 + 3x * 2) = -3x + -1(-4x) + 70 + 50 + -1x -5 + 5x + (4 + 6x) = -3x + -1(-4x) + 70 + 50 + -1x Reorder the terms: -5 + 4 + 5x + 6x = -3x + -1(-4x) + 70 + 50 + -1x Combine like terms: -5 + 4 = -1 -1 + 5x + 6x = -3x + -1(-4x) + 70 + 50 + -1x Combine like terms: 5x + 6x = 11x -1 + 11x = -3x + -1(-4x) + 70 + 50 + -1x Remove parenthesis around (-4x) -1 + 11x = -3x + -1 * -4x + 70 + 50 + -1x Multiply -1 * -4 -1 + 11x = -3x + 4x + 70 + 50 + -1x Reorder the terms: -1 + 11x = 70 + 50 + -3x + 4x + -1x Combine like terms: 70 + 50 = 120 -1 + 11x = 120 + -3x + 4x + -1x Combine like terms: -3x + 4x = 1x -1 + 11x = 120 + 1x + -1x Combine like terms: 1x + -1x = 0 -1 + 11x = 120 + 0 -1 + 11x = 120 Solving -1 + 11x = 120 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 11x = 120 + 1 Combine like terms: -1 + 1 = 0 0 + 11x = 120 + 1 11x = 120 + 1 Combine like terms: 120 + 1 = 121 11x = 121 Divide each side by '11'. x = 11 Simplifying x = 11
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