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Simplifying 3(6x + -1) + -2(x + 3) = 8(x + 1) Reorder the terms: 3(-1 + 6x) + -2(x + 3) = 8(x + 1) (-1 * 3 + 6x * 3) + -2(x + 3) = 8(x + 1) (-3 + 18x) + -2(x + 3) = 8(x + 1) Reorder the terms: -3 + 18x + -2(3 + x) = 8(x + 1) -3 + 18x + (3 * -2 + x * -2) = 8(x + 1) -3 + 18x + (-6 + -2x) = 8(x + 1) Reorder the terms: -3 + -6 + 18x + -2x = 8(x + 1) Combine like terms: -3 + -6 = -9 -9 + 18x + -2x = 8(x + 1) Combine like terms: 18x + -2x = 16x -9 + 16x = 8(x + 1) Reorder the terms: -9 + 16x = 8(1 + x) -9 + 16x = (1 * 8 + x * 8) -9 + 16x = (8 + 8x) Solving -9 + 16x = 8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -9 + 16x + -8x = 8 + 8x + -8x Combine like terms: 16x + -8x = 8x -9 + 8x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + 8x = 8 + 0 -9 + 8x = 8 Add '9' to each side of the equation. -9 + 9 + 8x = 8 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = 8 + 9 8x = 8 + 9 Combine like terms: 8 + 9 = 17 8x = 17 Divide each side by '8'. x = 2.125 Simplifying x = 2.125
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