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Simplifying 5(x + -3) + 10 = 3(x + 1) Reorder the terms: 5(-3 + x) + 10 = 3(x + 1) (-3 * 5 + x * 5) + 10 = 3(x + 1) (-15 + 5x) + 10 = 3(x + 1) Reorder the terms: -15 + 10 + 5x = 3(x + 1) Combine like terms: -15 + 10 = -5 -5 + 5x = 3(x + 1) Reorder the terms: -5 + 5x = 3(1 + x) -5 + 5x = (1 * 3 + x * 3) -5 + 5x = (3 + 3x) Solving -5 + 5x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5 + 5x + -3x = 3 + 3x + -3x Combine like terms: 5x + -3x = 2x -5 + 2x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 2x = 3 + 0 -5 + 2x = 3 Add '5' to each side of the equation. -5 + 5 + 2x = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 3 + 5 2x = 3 + 5 Combine like terms: 3 + 5 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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