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Simplifying 2(x + -11) + -15 + -1x = 8 + -3(5x + -2) Reorder the terms: 2(-11 + x) + -15 + -1x = 8 + -3(5x + -2) (-11 * 2 + x * 2) + -15 + -1x = 8 + -3(5x + -2) (-22 + 2x) + -15 + -1x = 8 + -3(5x + -2) Reorder the terms: -22 + -15 + 2x + -1x = 8 + -3(5x + -2) Combine like terms: -22 + -15 = -37 -37 + 2x + -1x = 8 + -3(5x + -2) Combine like terms: 2x + -1x = 1x -37 + 1x = 8 + -3(5x + -2) Reorder the terms: -37 + 1x = 8 + -3(-2 + 5x) -37 + 1x = 8 + (-2 * -3 + 5x * -3) -37 + 1x = 8 + (6 + -15x) Combine like terms: 8 + 6 = 14 -37 + 1x = 14 + -15x Solving -37 + 1x = 14 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -37 + 1x + 15x = 14 + -15x + 15x Combine like terms: 1x + 15x = 16x -37 + 16x = 14 + -15x + 15x Combine like terms: -15x + 15x = 0 -37 + 16x = 14 + 0 -37 + 16x = 14 Add '37' to each side of the equation. -37 + 37 + 16x = 14 + 37 Combine like terms: -37 + 37 = 0 0 + 16x = 14 + 37 16x = 14 + 37 Combine like terms: 14 + 37 = 51 16x = 51 Divide each side by '16'. x = 3.1875 Simplifying x = 3.1875
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