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Simplifying 3(2x + -4) + 2(-2x + 7) = -6x + 10 + 4x + 12 Reorder the terms: 3(-4 + 2x) + 2(-2x + 7) = -6x + 10 + 4x + 12 (-4 * 3 + 2x * 3) + 2(-2x + 7) = -6x + 10 + 4x + 12 (-12 + 6x) + 2(-2x + 7) = -6x + 10 + 4x + 12 Reorder the terms: -12 + 6x + 2(7 + -2x) = -6x + 10 + 4x + 12 -12 + 6x + (7 * 2 + -2x * 2) = -6x + 10 + 4x + 12 -12 + 6x + (14 + -4x) = -6x + 10 + 4x + 12 Reorder the terms: -12 + 14 + 6x + -4x = -6x + 10 + 4x + 12 Combine like terms: -12 + 14 = 2 2 + 6x + -4x = -6x + 10 + 4x + 12 Combine like terms: 6x + -4x = 2x 2 + 2x = -6x + 10 + 4x + 12 Reorder the terms: 2 + 2x = 10 + 12 + -6x + 4x Combine like terms: 10 + 12 = 22 2 + 2x = 22 + -6x + 4x Combine like terms: -6x + 4x = -2x 2 + 2x = 22 + -2x Solving 2 + 2x = 22 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 2 + 2x + 2x = 22 + -2x + 2x Combine like terms: 2x + 2x = 4x 2 + 4x = 22 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 4x = 22 + 0 2 + 4x = 22 Add '-2' to each side of the equation. 2 + -2 + 4x = 22 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 22 + -2 4x = 22 + -2 Combine like terms: 22 + -2 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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