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Simplifying 3(x + -5) + 17 = 2(x + 3) Reorder the terms: 3(-5 + x) + 17 = 2(x + 3) (-5 * 3 + x * 3) + 17 = 2(x + 3) (-15 + 3x) + 17 = 2(x + 3) Reorder the terms: -15 + 17 + 3x = 2(x + 3) Combine like terms: -15 + 17 = 2 2 + 3x = 2(x + 3) Reorder the terms: 2 + 3x = 2(3 + x) 2 + 3x = (3 * 2 + x * 2) 2 + 3x = (6 + 2x) Solving 2 + 3x = 6 + 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. 2 + 3x + -2x = 6 + 2x + -2x Combine like terms: 3x + -2x = 1x 2 + 1x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 1x = 6 + 0 2 + 1x = 6 Add '-2' to each side of the equation. 2 + -2 + 1x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 6 + -2 1x = 6 + -2 Combine like terms: 6 + -2 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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