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Simplifying 9x + 2(x + -3) = 15x + 7 Reorder the terms: 9x + 2(-3 + x) = 15x + 7 9x + (-3 * 2 + x * 2) = 15x + 7 9x + (-6 + 2x) = 15x + 7 Reorder the terms: -6 + 9x + 2x = 15x + 7 Combine like terms: 9x + 2x = 11x -6 + 11x = 15x + 7 Reorder the terms: -6 + 11x = 7 + 15x Solving -6 + 11x = 7 + 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 + 11x + -15x = 7 + 15x + -15x Combine like terms: 11x + -15x = -4x -6 + -4x = 7 + 15x + -15x Combine like terms: 15x + -15x = 0 -6 + -4x = 7 + 0 -6 + -4x = 7 Add '6' to each side of the equation. -6 + 6 + -4x = 7 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = 7 + 6 -4x = 7 + 6 Combine like terms: 7 + 6 = 13 -4x = 13 Divide each side by '-4'. x = -3.25 Simplifying x = -3.25
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