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Simplifying 5(3x + 2) = 14(2x + -3) Reorder the terms: 5(2 + 3x) = 14(2x + -3) (2 * 5 + 3x * 5) = 14(2x + -3) (10 + 15x) = 14(2x + -3) Reorder the terms: 10 + 15x = 14(-3 + 2x) 10 + 15x = (-3 * 14 + 2x * 14) 10 + 15x = (-42 + 28x) Solving 10 + 15x = -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. 10 + 15x + -28x = -42 + 28x + -28x Combine like terms: 15x + -28x = -13x 10 + -13x = -42 + 28x + -28x Combine like terms: 28x + -28x = 0 10 + -13x = -42 + 0 10 + -13x = -42 Add '-10' to each side of the equation. 10 + -10 + -13x = -42 + -10 Combine like terms: 10 + -10 = 0 0 + -13x = -42 + -10 -13x = -42 + -10 Combine like terms: -42 + -10 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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