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Simplifying 10x + 30 * 3 = 6(x + 30) Multiply 30 * 3 10x + 90 = 6(x + 30) Reorder the terms: 90 + 10x = 6(x + 30) Reorder the terms: 90 + 10x = 6(30 + x) 90 + 10x = (30 * 6 + x * 6) 90 + 10x = (180 + 6x) Solving 90 + 10x = 180 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 90 + 10x + -6x = 180 + 6x + -6x Combine like terms: 10x + -6x = 4x 90 + 4x = 180 + 6x + -6x Combine like terms: 6x + -6x = 0 90 + 4x = 180 + 0 90 + 4x = 180 Add '-90' to each side of the equation. 90 + -90 + 4x = 180 + -90 Combine like terms: 90 + -90 = 0 0 + 4x = 180 + -90 4x = 180 + -90 Combine like terms: 180 + -90 = 90 4x = 90 Divide each side by '4'. x = 22.5 Simplifying x = 22.5
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