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Simplifying 4x + 6 + 15 = 5(2x + 3) Reorder the terms: 6 + 15 + 4x = 5(2x + 3) Combine like terms: 6 + 15 = 21 21 + 4x = 5(2x + 3) Reorder the terms: 21 + 4x = 5(3 + 2x) 21 + 4x = (3 * 5 + 2x * 5) 21 + 4x = (15 + 10x) Solving 21 + 4x = 15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 21 + 4x + -10x = 15 + 10x + -10x Combine like terms: 4x + -10x = -6x 21 + -6x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 21 + -6x = 15 + 0 21 + -6x = 15 Add '-21' to each side of the equation. 21 + -21 + -6x = 15 + -21 Combine like terms: 21 + -21 = 0 0 + -6x = 15 + -21 -6x = 15 + -21 Combine like terms: 15 + -21 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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