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Simplifying 7 + -2x + 11 = 4(x + -6) Reorder the terms: 7 + 11 + -2x = 4(x + -6) Combine like terms: 7 + 11 = 18 18 + -2x = 4(x + -6) Reorder the terms: 18 + -2x = 4(-6 + x) 18 + -2x = (-6 * 4 + x * 4) 18 + -2x = (-24 + 4x) Solving 18 + -2x = -24 + 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. 18 + -2x + -4x = -24 + 4x + -4x Combine like terms: -2x + -4x = -6x 18 + -6x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + -6x = -24 + 0 18 + -6x = -24 Add '-18' to each side of the equation. 18 + -18 + -6x = -24 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = -24 + -18 -6x = -24 + -18 Combine like terms: -24 + -18 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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