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Simplifying 4x + 4 + -8x = 7(x + -2) + -4 Reorder the terms: 4 + 4x + -8x = 7(x + -2) + -4 Combine like terms: 4x + -8x = -4x 4 + -4x = 7(x + -2) + -4 Reorder the terms: 4 + -4x = 7(-2 + x) + -4 4 + -4x = (-2 * 7 + x * 7) + -4 4 + -4x = (-14 + 7x) + -4 Reorder the terms: 4 + -4x = -14 + -4 + 7x Combine like terms: -14 + -4 = -18 4 + -4x = -18 + 7x Solving 4 + -4x = -18 + 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. 4 + -4x + -7x = -18 + 7x + -7x Combine like terms: -4x + -7x = -11x 4 + -11x = -18 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -11x = -18 + 0 4 + -11x = -18 Add '-4' to each side of the equation. 4 + -4 + -11x = -18 + -4 Combine like terms: 4 + -4 = 0 0 + -11x = -18 + -4 -11x = -18 + -4 Combine like terms: -18 + -4 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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