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Simplifying 3x + -2(x + 4) = 8(x + 1) Reorder the terms: 3x + -2(4 + x) = 8(x + 1) 3x + (4 * -2 + x * -2) = 8(x + 1) 3x + (-8 + -2x) = 8(x + 1) Reorder the terms: -8 + 3x + -2x = 8(x + 1) Combine like terms: 3x + -2x = 1x -8 + 1x = 8(x + 1) Reorder the terms: -8 + 1x = 8(1 + x) -8 + 1x = (1 * 8 + x * 8) -8 + 1x = (8 + 8x) Solving -8 + 1x = 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. -8 + 1x + -8x = 8 + 8x + -8x Combine like terms: 1x + -8x = -7x -8 + -7x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -7x = 8 + 0 -8 + -7x = 8 Add '8' to each side of the equation. -8 + 8 + -7x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = 8 + 8 -7x = 8 + 8 Combine like terms: 8 + 8 = 16 -7x = 16 Divide each side by '-7'. x = -2.285714286 Simplifying x = -2.285714286
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