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Simplifying 3(x + -5) + 14 = 2(x + 3) Reorder the terms: 3(-5 + x) + 14 = 2(x + 3) (-5 * 3 + x * 3) + 14 = 2(x + 3) (-15 + 3x) + 14 = 2(x + 3) Reorder the terms: -15 + 14 + 3x = 2(x + 3) Combine like terms: -15 + 14 = -1 -1 + 3x = 2(x + 3) Reorder the terms: -1 + 3x = 2(3 + x) -1 + 3x = (3 * 2 + x * 2) -1 + 3x = (6 + 2x) Solving -1 + 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. -1 + 3x + -2x = 6 + 2x + -2x Combine like terms: 3x + -2x = 1x -1 + 1x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 1x = 6 + 0 -1 + 1x = 6 Add '1' to each side of the equation. -1 + 1 + 1x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 6 + 1 1x = 6 + 1 Combine like terms: 6 + 1 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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