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Simplifying 3(2x + -4) + 4(4 + -1x) = x + 7 Reorder the terms: 3(-4 + 2x) + 4(4 + -1x) = x + 7 (-4 * 3 + 2x * 3) + 4(4 + -1x) = x + 7 (-12 + 6x) + 4(4 + -1x) = x + 7 -12 + 6x + (4 * 4 + -1x * 4) = x + 7 -12 + 6x + (16 + -4x) = x + 7 Reorder the terms: -12 + 16 + 6x + -4x = x + 7 Combine like terms: -12 + 16 = 4 4 + 6x + -4x = x + 7 Combine like terms: 6x + -4x = 2x 4 + 2x = x + 7 Reorder the terms: 4 + 2x = 7 + x Solving 4 + 2x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4 + 2x + -1x = 7 + x + -1x Combine like terms: 2x + -1x = 1x 4 + 1x = 7 + x + -1x Combine like terms: x + -1x = 0 4 + 1x = 7 + 0 4 + 1x = 7 Add '-4' to each side of the equation. 4 + -4 + 1x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 7 + -4 1x = 7 + -4 Combine like terms: 7 + -4 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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