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Simplifying 5(4x + 3) = 3(x + -2) Reorder the terms: 5(3 + 4x) = 3(x + -2) (3 * 5 + 4x * 5) = 3(x + -2) (15 + 20x) = 3(x + -2) Reorder the terms: 15 + 20x = 3(-2 + x) 15 + 20x = (-2 * 3 + x * 3) 15 + 20x = (-6 + 3x) Solving 15 + 20x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15 + 20x + -3x = -6 + 3x + -3x Combine like terms: 20x + -3x = 17x 15 + 17x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + 17x = -6 + 0 15 + 17x = -6 Add '-15' to each side of the equation. 15 + -15 + 17x = -6 + -15 Combine like terms: 15 + -15 = 0 0 + 17x = -6 + -15 17x = -6 + -15 Combine like terms: -6 + -15 = -21 17x = -21 Divide each side by '17'. x = -1.235294118 Simplifying x = -1.235294118
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