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Simplifying x + 8 = 5(4x + -6) Reorder the terms: 8 + x = 5(4x + -6) Reorder the terms: 8 + x = 5(-6 + 4x) 8 + x = (-6 * 5 + 4x * 5) 8 + x = (-30 + 20x) Solving 8 + x = -30 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 8 + x + -20x = -30 + 20x + -20x Combine like terms: x + -20x = -19x 8 + -19x = -30 + 20x + -20x Combine like terms: 20x + -20x = 0 8 + -19x = -30 + 0 8 + -19x = -30 Add '-8' to each side of the equation. 8 + -8 + -19x = -30 + -8 Combine like terms: 8 + -8 = 0 0 + -19x = -30 + -8 -19x = -30 + -8 Combine like terms: -30 + -8 = -38 -19x = -38 Divide each side by '-19'. x = 2 Simplifying x = 2
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