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Simplifying 5(x + -3) + x = 7x + -5 Reorder the terms: 5(-3 + x) + x = 7x + -5 (-3 * 5 + x * 5) + x = 7x + -5 (-15 + 5x) + x = 7x + -5 Combine like terms: 5x + x = 6x -15 + 6x = 7x + -5 Reorder the terms: -15 + 6x = -5 + 7x Solving -15 + 6x = -5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -15 + 6x + -7x = -5 + 7x + -7x Combine like terms: 6x + -7x = -1x -15 + -1x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + -1x = -5 + 0 -15 + -1x = -5 Add '15' to each side of the equation. -15 + 15 + -1x = -5 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = -5 + 15 -1x = -5 + 15 Combine like terms: -5 + 15 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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