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Simplifying 3(x + 5) = 14(2x + -3) Reorder the terms: 3(5 + x) = 14(2x + -3) (5 * 3 + x * 3) = 14(2x + -3) (15 + 3x) = 14(2x + -3) Reorder the terms: 15 + 3x = 14(-3 + 2x) 15 + 3x = (-3 * 14 + 2x * 14) 15 + 3x = (-42 + 28x) Solving 15 + 3x = -42 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 15 + 3x + -28x = -42 + 28x + -28x Combine like terms: 3x + -28x = -25x 15 + -25x = -42 + 28x + -28x Combine like terms: 28x + -28x = 0 15 + -25x = -42 + 0 15 + -25x = -42 Add '-15' to each side of the equation. 15 + -15 + -25x = -42 + -15 Combine like terms: 15 + -15 = 0 0 + -25x = -42 + -15 -25x = -42 + -15 Combine like terms: -42 + -15 = -57 -25x = -57 Divide each side by '-25'. x = 2.28 Simplifying x = 2.28
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