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Simplifying 6x + -3(x + 4) = x + 24 Reorder the terms: 6x + -3(4 + x) = x + 24 6x + (4 * -3 + x * -3) = x + 24 6x + (-12 + -3x) = x + 24 Reorder the terms: -12 + 6x + -3x = x + 24 Combine like terms: 6x + -3x = 3x -12 + 3x = x + 24 Reorder the terms: -12 + 3x = 24 + x Solving -12 + 3x = 24 + 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. -12 + 3x + -1x = 24 + x + -1x Combine like terms: 3x + -1x = 2x -12 + 2x = 24 + x + -1x Combine like terms: x + -1x = 0 -12 + 2x = 24 + 0 -12 + 2x = 24 Add '12' to each side of the equation. -12 + 12 + 2x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 24 + 12 2x = 24 + 12 Combine like terms: 24 + 12 = 36 2x = 36 Divide each side by '2'. x = 18 Simplifying x = 18
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