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Simplifying 6(x + 1.5) = 15x Reorder the terms: 6(1.5 + x) = 15x (1.5 * 6 + x * 6) = 15x (9 + 6x) = 15x Solving 9 + 6x = 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. 9 + 6x + -15x = 15x + -15x Combine like terms: 6x + -15x = -9x 9 + -9x = 15x + -15x Combine like terms: 15x + -15x = 0 9 + -9x = 0 Add '-9' to each side of the equation. 9 + -9 + -9x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -9x = 0 + -9 -9x = 0 + -9 Combine like terms: 0 + -9 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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