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Simplifying 5(x + -3) = 2(x + 7) + -1x Reorder the terms: 5(-3 + x) = 2(x + 7) + -1x (-3 * 5 + x * 5) = 2(x + 7) + -1x (-15 + 5x) = 2(x + 7) + -1x Reorder the terms: -15 + 5x = 2(7 + x) + -1x -15 + 5x = (7 * 2 + x * 2) + -1x -15 + 5x = (14 + 2x) + -1x Combine like terms: 2x + -1x = 1x -15 + 5x = 14 + 1x Solving -15 + 5x = 14 + 1x 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. -15 + 5x + -1x = 14 + 1x + -1x Combine like terms: 5x + -1x = 4x -15 + 4x = 14 + 1x + -1x Combine like terms: 1x + -1x = 0 -15 + 4x = 14 + 0 -15 + 4x = 14 Add '15' to each side of the equation. -15 + 15 + 4x = 14 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = 14 + 15 4x = 14 + 15 Combine like terms: 14 + 15 = 29 4x = 29 Divide each side by '4'. x = 7.25 Simplifying x = 7.25
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