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Simplifying 8(1 + -1x) + -2(x + -3) = 3(2x + -1) + -11 (1 * 8 + -1x * 8) + -2(x + -3) = 3(2x + -1) + -11 (8 + -8x) + -2(x + -3) = 3(2x + -1) + -11 Reorder the terms: 8 + -8x + -2(-3 + x) = 3(2x + -1) + -11 8 + -8x + (-3 * -2 + x * -2) = 3(2x + -1) + -11 8 + -8x + (6 + -2x) = 3(2x + -1) + -11 Reorder the terms: 8 + 6 + -8x + -2x = 3(2x + -1) + -11 Combine like terms: 8 + 6 = 14 14 + -8x + -2x = 3(2x + -1) + -11 Combine like terms: -8x + -2x = -10x 14 + -10x = 3(2x + -1) + -11 Reorder the terms: 14 + -10x = 3(-1 + 2x) + -11 14 + -10x = (-1 * 3 + 2x * 3) + -11 14 + -10x = (-3 + 6x) + -11 Reorder the terms: 14 + -10x = -3 + -11 + 6x Combine like terms: -3 + -11 = -14 14 + -10x = -14 + 6x Solving 14 + -10x = -14 + 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. 14 + -10x + -6x = -14 + 6x + -6x Combine like terms: -10x + -6x = -16x 14 + -16x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + -16x = -14 + 0 14 + -16x = -14 Add '-14' to each side of the equation. 14 + -14 + -16x = -14 + -14 Combine like terms: 14 + -14 = 0 0 + -16x = -14 + -14 -16x = -14 + -14 Combine like terms: -14 + -14 = -28 -16x = -28 Divide each side by '-16'. x = 1.75 Simplifying x = 1.75
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