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Simplifying 5x + 10(x + 3) + 25(3x) = 5x + 10x Reorder the terms: 5x + 10(3 + x) + 25(3x) = 5x + 10x 5x + (3 * 10 + x * 10) + 25(3x) = 5x + 10x 5x + (30 + 10x) + 25(3x) = 5x + 10x Remove parenthesis around (3x) 5x + 30 + 10x + 25 * 3x = 5x + 10x Multiply 25 * 3 5x + 30 + 10x + 75x = 5x + 10x Reorder the terms: 30 + 5x + 10x + 75x = 5x + 10x Combine like terms: 5x + 10x = 15x 30 + 15x + 75x = 5x + 10x Combine like terms: 15x + 75x = 90x 30 + 90x = 5x + 10x Combine like terms: 5x + 10x = 15x 30 + 90x = 15x Solving 30 + 90x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 30 + 90x + -15x = 15x + -15x Combine like terms: 90x + -15x = 75x 30 + 75x = 15x + -15x Combine like terms: 15x + -15x = 0 30 + 75x = 0 Add '-30' to each side of the equation. 30 + -30 + 75x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 75x = 0 + -30 75x = 0 + -30 Combine like terms: 0 + -30 = -30 75x = -30 Divide each side by '75'. x = -0.4 Simplifying x = -0.4
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