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Simplifying 6 + 5x = 1.5(12 + 10x) 6 + 5x = (12 * 1.5 + 10x * 1.5) 6 + 5x = (18 + 15x) Solving 6 + 5x = 18 + 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. 6 + 5x + -15x = 18 + 15x + -15x Combine like terms: 5x + -15x = -10x 6 + -10x = 18 + 15x + -15x Combine like terms: 15x + -15x = 0 6 + -10x = 18 + 0 6 + -10x = 18 Add '-6' to each side of the equation. 6 + -6 + -10x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + -10x = 18 + -6 -10x = 18 + -6 Combine like terms: 18 + -6 = 12 -10x = 12 Divide each side by '-10'. x = -1.2 Simplifying x = -1.2
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