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Simplifying 4(x + 2) = 2(3x + 2) + 2(x + -1) Reorder the terms: 4(2 + x) = 2(3x + 2) + 2(x + -1) (2 * 4 + x * 4) = 2(3x + 2) + 2(x + -1) (8 + 4x) = 2(3x + 2) + 2(x + -1) Reorder the terms: 8 + 4x = 2(2 + 3x) + 2(x + -1) 8 + 4x = (2 * 2 + 3x * 2) + 2(x + -1) 8 + 4x = (4 + 6x) + 2(x + -1) Reorder the terms: 8 + 4x = 4 + 6x + 2(-1 + x) 8 + 4x = 4 + 6x + (-1 * 2 + x * 2) 8 + 4x = 4 + 6x + (-2 + 2x) Reorder the terms: 8 + 4x = 4 + -2 + 6x + 2x Combine like terms: 4 + -2 = 2 8 + 4x = 2 + 6x + 2x Combine like terms: 6x + 2x = 8x 8 + 4x = 2 + 8x Solving 8 + 4x = 2 + 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 + 4x + -8x = 2 + 8x + -8x Combine like terms: 4x + -8x = -4x 8 + -4x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -4x = 2 + 0 8 + -4x = 2 Add '-8' to each side of the equation. 8 + -8 + -4x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = 2 + -8 -4x = 2 + -8 Combine like terms: 2 + -8 = -6 -4x = -6 Divide each side by '-4'. x = 1.5 Simplifying x = 1.5
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