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Simplifying 10 + 3x = 2(3 + 4x) * 5 Reorder the terms for easier multiplication: 10 + 3x = 2 * 5(3 + 4x) Multiply 2 * 5 10 + 3x = 10(3 + 4x) 10 + 3x = (3 * 10 + 4x * 10) 10 + 3x = (30 + 40x) Solving 10 + 3x = 30 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 10 + 3x + -40x = 30 + 40x + -40x Combine like terms: 3x + -40x = -37x 10 + -37x = 30 + 40x + -40x Combine like terms: 40x + -40x = 0 10 + -37x = 30 + 0 10 + -37x = 30 Add '-10' to each side of the equation. 10 + -10 + -37x = 30 + -10 Combine like terms: 10 + -10 = 0 0 + -37x = 30 + -10 -37x = 30 + -10 Combine like terms: 30 + -10 = 20 -37x = 20 Divide each side by '-37'. x = -0.5405405405 Simplifying x = -0.5405405405
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