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Simplifying 3(x + -6) = 7(x + 3) + -11 Reorder the terms: 3(-6 + x) = 7(x + 3) + -11 (-6 * 3 + x * 3) = 7(x + 3) + -11 (-18 + 3x) = 7(x + 3) + -11 Reorder the terms: -18 + 3x = 7(3 + x) + -11 -18 + 3x = (3 * 7 + x * 7) + -11 -18 + 3x = (21 + 7x) + -11 Reorder the terms: -18 + 3x = 21 + -11 + 7x Combine like terms: 21 + -11 = 10 -18 + 3x = 10 + 7x Solving -18 + 3x = 10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -18 + 3x + -7x = 10 + 7x + -7x Combine like terms: 3x + -7x = -4x -18 + -4x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 -18 + -4x = 10 + 0 -18 + -4x = 10 Add '18' to each side of the equation. -18 + 18 + -4x = 10 + 18 Combine like terms: -18 + 18 = 0 0 + -4x = 10 + 18 -4x = 10 + 18 Combine like terms: 10 + 18 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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