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Simplifying 6(x + -2) + -1x = 4(x + 4) + 7 Reorder the terms: 6(-2 + x) + -1x = 4(x + 4) + 7 (-2 * 6 + x * 6) + -1x = 4(x + 4) + 7 (-12 + 6x) + -1x = 4(x + 4) + 7 Combine like terms: 6x + -1x = 5x -12 + 5x = 4(x + 4) + 7 Reorder the terms: -12 + 5x = 4(4 + x) + 7 -12 + 5x = (4 * 4 + x * 4) + 7 -12 + 5x = (16 + 4x) + 7 Reorder the terms: -12 + 5x = 16 + 7 + 4x Combine like terms: 16 + 7 = 23 -12 + 5x = 23 + 4x Solving -12 + 5x = 23 + 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. -12 + 5x + -4x = 23 + 4x + -4x Combine like terms: 5x + -4x = 1x -12 + 1x = 23 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 1x = 23 + 0 -12 + 1x = 23 Add '12' to each side of the equation. -12 + 12 + 1x = 23 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 23 + 12 1x = 23 + 12 Combine like terms: 23 + 12 = 35 1x = 35 Divide each side by '1'. x = 35 Simplifying x = 35
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