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Simplifying 6(x + 3) + 4(3x + -75) = 258 Reorder the terms: 6(3 + x) + 4(3x + -75) = 258 (3 * 6 + x * 6) + 4(3x + -75) = 258 (18 + 6x) + 4(3x + -75) = 258 Reorder the terms: 18 + 6x + 4(-75 + 3x) = 258 18 + 6x + (-75 * 4 + 3x * 4) = 258 18 + 6x + (-300 + 12x) = 258 Reorder the terms: 18 + -300 + 6x + 12x = 258 Combine like terms: 18 + -300 = -282 -282 + 6x + 12x = 258 Combine like terms: 6x + 12x = 18x -282 + 18x = 258 Solving -282 + 18x = 258 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '282' to each side of the equation. -282 + 282 + 18x = 258 + 282 Combine like terms: -282 + 282 = 0 0 + 18x = 258 + 282 18x = 258 + 282 Combine like terms: 258 + 282 = 540 18x = 540 Divide each side by '18'. x = 30 Simplifying x = 30
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