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Simplifying 4x + 8 = 2(3x + -7) Reorder the terms: 8 + 4x = 2(3x + -7) Reorder the terms: 8 + 4x = 2(-7 + 3x) 8 + 4x = (-7 * 2 + 3x * 2) 8 + 4x = (-14 + 6x) Solving 8 + 4x = -14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + 4x + -6x = -14 + 6x + -6x Combine like terms: 4x + -6x = -2x 8 + -2x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -2x = -14 + 0 8 + -2x = -14 Add '-8' to each side of the equation. 8 + -8 + -2x = -14 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -14 + -8 -2x = -14 + -8 Combine like terms: -14 + -8 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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