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Simplifying 5(x + -3) + -2(x + 1) = 2x + 3 Reorder the terms: 5(-3 + x) + -2(x + 1) = 2x + 3 (-3 * 5 + x * 5) + -2(x + 1) = 2x + 3 (-15 + 5x) + -2(x + 1) = 2x + 3 Reorder the terms: -15 + 5x + -2(1 + x) = 2x + 3 -15 + 5x + (1 * -2 + x * -2) = 2x + 3 -15 + 5x + (-2 + -2x) = 2x + 3 Reorder the terms: -15 + -2 + 5x + -2x = 2x + 3 Combine like terms: -15 + -2 = -17 -17 + 5x + -2x = 2x + 3 Combine like terms: 5x + -2x = 3x -17 + 3x = 2x + 3 Reorder the terms: -17 + 3x = 3 + 2x Solving -17 + 3x = 3 + 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. -17 + 3x + -2x = 3 + 2x + -2x Combine like terms: 3x + -2x = 1x -17 + 1x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + 1x = 3 + 0 -17 + 1x = 3 Add '17' to each side of the equation. -17 + 17 + 1x = 3 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = 3 + 17 1x = 3 + 17 Combine like terms: 3 + 17 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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