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Simplifying 10 = 3(x + -6) + -7x Reorder the terms: 10 = 3(-6 + x) + -7x 10 = (-6 * 3 + x * 3) + -7x 10 = (-18 + 3x) + -7x Combine like terms: 3x + -7x = -4x 10 = -18 + -4x Solving 10 = -18 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 10 + 4x = -18 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + 4x = -18 + 0 10 + 4x = -18 Add '-10' to each side of the equation. 10 + -10 + 4x = -18 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = -18 + -10 4x = -18 + -10 Combine like terms: -18 + -10 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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