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Simplifying 5 + 3(x + -4) = 5(x + 2) + -1x Reorder the terms: 5 + 3(-4 + x) = 5(x + 2) + -1x 5 + (-4 * 3 + x * 3) = 5(x + 2) + -1x 5 + (-12 + 3x) = 5(x + 2) + -1x Combine like terms: 5 + -12 = -7 -7 + 3x = 5(x + 2) + -1x Reorder the terms: -7 + 3x = 5(2 + x) + -1x -7 + 3x = (2 * 5 + x * 5) + -1x -7 + 3x = (10 + 5x) + -1x Combine like terms: 5x + -1x = 4x -7 + 3x = 10 + 4x Solving -7 + 3x = 10 + 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. -7 + 3x + -4x = 10 + 4x + -4x Combine like terms: 3x + -4x = -1x -7 + -1x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -1x = 10 + 0 -7 + -1x = 10 Add '7' to each side of the equation. -7 + 7 + -1x = 10 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 10 + 7 -1x = 10 + 7 Combine like terms: 10 + 7 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17
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