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Simplifying 7x + -3(x + -6) = 2(x + -5) + 6 Reorder the terms: 7x + -3(-6 + x) = 2(x + -5) + 6 7x + (-6 * -3 + x * -3) = 2(x + -5) + 6 7x + (18 + -3x) = 2(x + -5) + 6 Reorder the terms: 18 + 7x + -3x = 2(x + -5) + 6 Combine like terms: 7x + -3x = 4x 18 + 4x = 2(x + -5) + 6 Reorder the terms: 18 + 4x = 2(-5 + x) + 6 18 + 4x = (-5 * 2 + x * 2) + 6 18 + 4x = (-10 + 2x) + 6 Reorder the terms: 18 + 4x = -10 + 6 + 2x Combine like terms: -10 + 6 = -4 18 + 4x = -4 + 2x Solving 18 + 4x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 18 + 4x + -2x = -4 + 2x + -2x Combine like terms: 4x + -2x = 2x 18 + 2x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + 2x = -4 + 0 18 + 2x = -4 Add '-18' to each side of the equation. 18 + -18 + 2x = -4 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = -4 + -18 2x = -4 + -18 Combine like terms: -4 + -18 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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