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Simplifying 3(x + -4) + 4(x + 1) = 13 Reorder the terms: 3(-4 + x) + 4(x + 1) = 13 (-4 * 3 + x * 3) + 4(x + 1) = 13 (-12 + 3x) + 4(x + 1) = 13 Reorder the terms: -12 + 3x + 4(1 + x) = 13 -12 + 3x + (1 * 4 + x * 4) = 13 -12 + 3x + (4 + 4x) = 13 Reorder the terms: -12 + 4 + 3x + 4x = 13 Combine like terms: -12 + 4 = -8 -8 + 3x + 4x = 13 Combine like terms: 3x + 4x = 7x -8 + 7x = 13 Solving -8 + 7x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 7x = 13 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = 13 + 8 7x = 13 + 8 Combine like terms: 13 + 8 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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