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Simplifying 4(2x + 5) + -3x = 10x + 30 Reorder the terms: 4(5 + 2x) + -3x = 10x + 30 (5 * 4 + 2x * 4) + -3x = 10x + 30 (20 + 8x) + -3x = 10x + 30 Combine like terms: 8x + -3x = 5x 20 + 5x = 10x + 30 Reorder the terms: 20 + 5x = 30 + 10x Solving 20 + 5x = 30 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 20 + 5x + -10x = 30 + 10x + -10x Combine like terms: 5x + -10x = -5x 20 + -5x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 20 + -5x = 30 + 0 20 + -5x = 30 Add '-20' to each side of the equation. 20 + -20 + -5x = 30 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = 30 + -20 -5x = 30 + -20 Combine like terms: 30 + -20 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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