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Simplifying 5(x + -3) = 3(x + 7) + -1x Reorder the terms: 5(-3 + x) = 3(x + 7) + -1x (-3 * 5 + x * 5) = 3(x + 7) + -1x (-15 + 5x) = 3(x + 7) + -1x Reorder the terms: -15 + 5x = 3(7 + x) + -1x -15 + 5x = (7 * 3 + x * 3) + -1x -15 + 5x = (21 + 3x) + -1x Combine like terms: 3x + -1x = 2x -15 + 5x = 21 + 2x Solving -15 + 5x = 21 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + 5x + -2x = 21 + 2x + -2x Combine like terms: 5x + -2x = 3x -15 + 3x = 21 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 3x = 21 + 0 -15 + 3x = 21 Add '15' to each side of the equation. -15 + 15 + 3x = 21 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = 21 + 15 3x = 21 + 15 Combine like terms: 21 + 15 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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