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Simplifying 4x + 30 = 4(5x + 2) + -10 Reorder the terms: 30 + 4x = 4(5x + 2) + -10 Reorder the terms: 30 + 4x = 4(2 + 5x) + -10 30 + 4x = (2 * 4 + 5x * 4) + -10 30 + 4x = (8 + 20x) + -10 Reorder the terms: 30 + 4x = 8 + -10 + 20x Combine like terms: 8 + -10 = -2 30 + 4x = -2 + 20x Solving 30 + 4x = -2 + 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. 30 + 4x + -20x = -2 + 20x + -20x Combine like terms: 4x + -20x = -16x 30 + -16x = -2 + 20x + -20x Combine like terms: 20x + -20x = 0 30 + -16x = -2 + 0 30 + -16x = -2 Add '-30' to each side of the equation. 30 + -30 + -16x = -2 + -30 Combine like terms: 30 + -30 = 0 0 + -16x = -2 + -30 -16x = -2 + -30 Combine like terms: -2 + -30 = -32 -16x = -32 Divide each side by '-16'. x = 2 Simplifying x = 2
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