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Simplifying 4 + 3(5x + 14) = 10(x + 3) + -24 Reorder the terms: 4 + 3(14 + 5x) = 10(x + 3) + -24 4 + (14 * 3 + 5x * 3) = 10(x + 3) + -24 4 + (42 + 15x) = 10(x + 3) + -24 Combine like terms: 4 + 42 = 46 46 + 15x = 10(x + 3) + -24 Reorder the terms: 46 + 15x = 10(3 + x) + -24 46 + 15x = (3 * 10 + x * 10) + -24 46 + 15x = (30 + 10x) + -24 Reorder the terms: 46 + 15x = 30 + -24 + 10x Combine like terms: 30 + -24 = 6 46 + 15x = 6 + 10x Solving 46 + 15x = 6 + 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. 46 + 15x + -10x = 6 + 10x + -10x Combine like terms: 15x + -10x = 5x 46 + 5x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 46 + 5x = 6 + 0 46 + 5x = 6 Add '-46' to each side of the equation. 46 + -46 + 5x = 6 + -46 Combine like terms: 46 + -46 = 0 0 + 5x = 6 + -46 5x = 6 + -46 Combine like terms: 6 + -46 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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