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Simplifying 2(3x + -2) + -4(x + 6) = 3x + 8 + x Reorder the terms: 2(-2 + 3x) + -4(x + 6) = 3x + 8 + x (-2 * 2 + 3x * 2) + -4(x + 6) = 3x + 8 + x (-4 + 6x) + -4(x + 6) = 3x + 8 + x Reorder the terms: -4 + 6x + -4(6 + x) = 3x + 8 + x -4 + 6x + (6 * -4 + x * -4) = 3x + 8 + x -4 + 6x + (-24 + -4x) = 3x + 8 + x Reorder the terms: -4 + -24 + 6x + -4x = 3x + 8 + x Combine like terms: -4 + -24 = -28 -28 + 6x + -4x = 3x + 8 + x Combine like terms: 6x + -4x = 2x -28 + 2x = 3x + 8 + x Reorder the terms: -28 + 2x = 8 + 3x + x Combine like terms: 3x + x = 4x -28 + 2x = 8 + 4x Solving -28 + 2x = 8 + 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. -28 + 2x + -4x = 8 + 4x + -4x Combine like terms: 2x + -4x = -2x -28 + -2x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -28 + -2x = 8 + 0 -28 + -2x = 8 Add '28' to each side of the equation. -28 + 28 + -2x = 8 + 28 Combine like terms: -28 + 28 = 0 0 + -2x = 8 + 28 -2x = 8 + 28 Combine like terms: 8 + 28 = 36 -2x = 36 Divide each side by '-2'. x = -18 Simplifying x = -18
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