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Simplifying 2x + 4 = 4(2x + -3) + -2 Reorder the terms: 4 + 2x = 4(2x + -3) + -2 Reorder the terms: 4 + 2x = 4(-3 + 2x) + -2 4 + 2x = (-3 * 4 + 2x * 4) + -2 4 + 2x = (-12 + 8x) + -2 Reorder the terms: 4 + 2x = -12 + -2 + 8x Combine like terms: -12 + -2 = -14 4 + 2x = -14 + 8x Solving 4 + 2x = -14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + 2x + -8x = -14 + 8x + -8x Combine like terms: 2x + -8x = -6x 4 + -6x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -6x = -14 + 0 4 + -6x = -14 Add '-4' to each side of the equation. 4 + -4 + -6x = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = -14 + -4 -6x = -14 + -4 Combine like terms: -14 + -4 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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