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Simplifying 2(3x + 5) + -3(4x + 6) + 8(x + -1) = 30 Reorder the terms: 2(5 + 3x) + -3(4x + 6) + 8(x + -1) = 30 (5 * 2 + 3x * 2) + -3(4x + 6) + 8(x + -1) = 30 (10 + 6x) + -3(4x + 6) + 8(x + -1) = 30 Reorder the terms: 10 + 6x + -3(6 + 4x) + 8(x + -1) = 30 10 + 6x + (6 * -3 + 4x * -3) + 8(x + -1) = 30 10 + 6x + (-18 + -12x) + 8(x + -1) = 30 Reorder the terms: 10 + 6x + -18 + -12x + 8(-1 + x) = 30 10 + 6x + -18 + -12x + (-1 * 8 + x * 8) = 30 10 + 6x + -18 + -12x + (-8 + 8x) = 30 Reorder the terms: 10 + -18 + -8 + 6x + -12x + 8x = 30 Combine like terms: 10 + -18 = -8 -8 + -8 + 6x + -12x + 8x = 30 Combine like terms: -8 + -8 = -16 -16 + 6x + -12x + 8x = 30 Combine like terms: 6x + -12x = -6x -16 + -6x + 8x = 30 Combine like terms: -6x + 8x = 2x -16 + 2x = 30 Solving -16 + 2x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 2x = 30 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = 30 + 16 2x = 30 + 16 Combine like terms: 30 + 16 = 46 2x = 46 Divide each side by '2'. x = 23 Simplifying x = 23
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