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Simplifying 3(x + -4) + 7x = 24 + x Reorder the terms: 3(-4 + x) + 7x = 24 + x (-4 * 3 + x * 3) + 7x = 24 + x (-12 + 3x) + 7x = 24 + x Combine like terms: 3x + 7x = 10x -12 + 10x = 24 + x Solving -12 + 10x = 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 + 10x + -1x = 24 + x + -1x Combine like terms: 10x + -1x = 9x -12 + 9x = 24 + x + -1x Combine like terms: x + -1x = 0 -12 + 9x = 24 + 0 -12 + 9x = 24 Add '12' to each side of the equation. -12 + 12 + 9x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 24 + 12 9x = 24 + 12 Combine like terms: 24 + 12 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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