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Simplifying 6 = 3(x + 5) + -4x Reorder the terms: 6 = 3(5 + x) + -4x 6 = (5 * 3 + x * 3) + -4x 6 = (15 + 3x) + -4x Combine like terms: 3x + -4x = -1x 6 = 15 + -1x Solving 6 = 15 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6 + x = 15 + -1x + x Combine like terms: -1x + x = 0 6 + x = 15 + 0 6 + x = 15 Add '-6' to each side of the equation. 6 + -6 + x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + x = 15 + -6 x = 15 + -6 Combine like terms: 15 + -6 = 9 x = 9 Simplifying x = 9
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