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Simplifying 6 + -9x = 15(x + 2) Reorder the terms: 6 + -9x = 15(2 + x) 6 + -9x = (2 * 15 + x * 15) 6 + -9x = (30 + 15x) Solving 6 + -9x = 30 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 6 + -9x + -15x = 30 + 15x + -15x Combine like terms: -9x + -15x = -24x 6 + -24x = 30 + 15x + -15x Combine like terms: 15x + -15x = 0 6 + -24x = 30 + 0 6 + -24x = 30 Add '-6' to each side of the equation. 6 + -6 + -24x = 30 + -6 Combine like terms: 6 + -6 = 0 0 + -24x = 30 + -6 -24x = 30 + -6 Combine like terms: 30 + -6 = 24 -24x = 24 Divide each side by '-24'. x = -1 Simplifying x = -1
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