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Simplifying 5(x + 3) = 6x + 7 + 3x Reorder the terms: 5(3 + x) = 6x + 7 + 3x (3 * 5 + x * 5) = 6x + 7 + 3x (15 + 5x) = 6x + 7 + 3x Reorder the terms: 15 + 5x = 7 + 6x + 3x Combine like terms: 6x + 3x = 9x 15 + 5x = 7 + 9x Solving 15 + 5x = 7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 15 + 5x + -9x = 7 + 9x + -9x Combine like terms: 5x + -9x = -4x 15 + -4x = 7 + 9x + -9x Combine like terms: 9x + -9x = 0 15 + -4x = 7 + 0 15 + -4x = 7 Add '-15' to each side of the equation. 15 + -15 + -4x = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = 7 + -15 -4x = 7 + -15 Combine like terms: 7 + -15 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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