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Simplifying 3x + 15 = 6(3x + -10) Reorder the terms: 15 + 3x = 6(3x + -10) Reorder the terms: 15 + 3x = 6(-10 + 3x) 15 + 3x = (-10 * 6 + 3x * 6) 15 + 3x = (-60 + 18x) Solving 15 + 3x = -60 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 15 + 3x + -18x = -60 + 18x + -18x Combine like terms: 3x + -18x = -15x 15 + -15x = -60 + 18x + -18x Combine like terms: 18x + -18x = 0 15 + -15x = -60 + 0 15 + -15x = -60 Add '-15' to each side of the equation. 15 + -15 + -15x = -60 + -15 Combine like terms: 15 + -15 = 0 0 + -15x = -60 + -15 -15x = -60 + -15 Combine like terms: -60 + -15 = -75 -15x = -75 Divide each side by '-15'. x = 5 Simplifying x = 5
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