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Simplifying 4x + 5 + -2(x + 6) = x + 32 Reorder the terms: 4x + 5 + -2(6 + x) = x + 32 4x + 5 + (6 * -2 + x * -2) = x + 32 4x + 5 + (-12 + -2x) = x + 32 Reorder the terms: 5 + -12 + 4x + -2x = x + 32 Combine like terms: 5 + -12 = -7 -7 + 4x + -2x = x + 32 Combine like terms: 4x + -2x = 2x -7 + 2x = x + 32 Reorder the terms: -7 + 2x = 32 + x Solving -7 + 2x = 32 + 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. -7 + 2x + -1x = 32 + x + -1x Combine like terms: 2x + -1x = 1x -7 + 1x = 32 + x + -1x Combine like terms: x + -1x = 0 -7 + 1x = 32 + 0 -7 + 1x = 32 Add '7' to each side of the equation. -7 + 7 + 1x = 32 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 32 + 7 1x = 32 + 7 Combine like terms: 32 + 7 = 39 1x = 39 Divide each side by '1'. x = 39 Simplifying x = 39
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