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Simplifying 4x + 30(10) = 8(x + 30) Multiply 30 * 10 4x + 300 = 8(x + 30) Reorder the terms: 300 + 4x = 8(x + 30) Reorder the terms: 300 + 4x = 8(30 + x) 300 + 4x = (30 * 8 + x * 8) 300 + 4x = (240 + 8x) Solving 300 + 4x = 240 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 300 + 4x + -8x = 240 + 8x + -8x Combine like terms: 4x + -8x = -4x 300 + -4x = 240 + 8x + -8x Combine like terms: 8x + -8x = 0 300 + -4x = 240 + 0 300 + -4x = 240 Add '-300' to each side of the equation. 300 + -300 + -4x = 240 + -300 Combine like terms: 300 + -300 = 0 0 + -4x = 240 + -300 -4x = 240 + -300 Combine like terms: 240 + -300 = -60 -4x = -60 Divide each side by '-4'. x = 15 Simplifying x = 15
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