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Simplifying 3x + -2 = 4(x + 8) Reorder the terms: -2 + 3x = 4(x + 8) Reorder the terms: -2 + 3x = 4(8 + x) -2 + 3x = (8 * 4 + x * 4) -2 + 3x = (32 + 4x) Solving -2 + 3x = 32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 3x + -4x = 32 + 4x + -4x Combine like terms: 3x + -4x = -1x -2 + -1x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -1x = 32 + 0 -2 + -1x = 32 Add '2' to each side of the equation. -2 + 2 + -1x = 32 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 32 + 2 -1x = 32 + 2 Combine like terms: 32 + 2 = 34 -1x = 34 Divide each side by '-1'. x = -34 Simplifying x = -34
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