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Simplifying 3x + -2 + 2(2x + 4) = 3(4 + -2x) + -2(x + 4) Reorder the terms: 3x + -2 + 2(4 + 2x) = 3(4 + -2x) + -2(x + 4) 3x + -2 + (4 * 2 + 2x * 2) = 3(4 + -2x) + -2(x + 4) 3x + -2 + (8 + 4x) = 3(4 + -2x) + -2(x + 4) Reorder the terms: -2 + 8 + 3x + 4x = 3(4 + -2x) + -2(x + 4) Combine like terms: -2 + 8 = 6 6 + 3x + 4x = 3(4 + -2x) + -2(x + 4) Combine like terms: 3x + 4x = 7x 6 + 7x = 3(4 + -2x) + -2(x + 4) 6 + 7x = (4 * 3 + -2x * 3) + -2(x + 4) 6 + 7x = (12 + -6x) + -2(x + 4) Reorder the terms: 6 + 7x = 12 + -6x + -2(4 + x) 6 + 7x = 12 + -6x + (4 * -2 + x * -2) 6 + 7x = 12 + -6x + (-8 + -2x) Reorder the terms: 6 + 7x = 12 + -8 + -6x + -2x Combine like terms: 12 + -8 = 4 6 + 7x = 4 + -6x + -2x Combine like terms: -6x + -2x = -8x 6 + 7x = 4 + -8x Solving 6 + 7x = 4 + -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. 6 + 7x + 8x = 4 + -8x + 8x Combine like terms: 7x + 8x = 15x 6 + 15x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + 15x = 4 + 0 6 + 15x = 4 Add '-6' to each side of the equation. 6 + -6 + 15x = 4 + -6 Combine like terms: 6 + -6 = 0 0 + 15x = 4 + -6 15x = 4 + -6 Combine like terms: 4 + -6 = -2 15x = -2 Divide each side by '15'. x = -0.1333333333 Simplifying x = -0.1333333333
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