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Simplifying 6 = -15x + 2(3x + -6) Reorder the terms: 6 = -15x + 2(-6 + 3x) 6 = -15x + (-6 * 2 + 3x * 2) 6 = -15x + (-12 + 6x) Reorder the terms: 6 = -12 + -15x + 6x Combine like terms: -15x + 6x = -9x 6 = -12 + -9x Solving 6 = -12 + -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. 6 + 9x = -12 + -9x + 9x Combine like terms: -9x + 9x = 0 6 + 9x = -12 + 0 6 + 9x = -12 Add '-6' to each side of the equation. 6 + -6 + 9x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = -12 + -6 9x = -12 + -6 Combine like terms: -12 + -6 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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