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Simplifying 45 = 12x + 3(x + -8) + -6 Reorder the terms: 45 = 12x + 3(-8 + x) + -6 45 = 12x + (-8 * 3 + x * 3) + -6 45 = 12x + (-24 + 3x) + -6 Reorder the terms: 45 = -24 + -6 + 12x + 3x Combine like terms: -24 + -6 = -30 45 = -30 + 12x + 3x Combine like terms: 12x + 3x = 15x 45 = -30 + 15x Solving 45 = -30 + 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. 45 + -15x = -30 + 15x + -15x Combine like terms: 15x + -15x = 0 45 + -15x = -30 + 0 45 + -15x = -30 Add '-45' to each side of the equation. 45 + -45 + -15x = -30 + -45 Combine like terms: 45 + -45 = 0 0 + -15x = -30 + -45 -15x = -30 + -45 Combine like terms: -30 + -45 = -75 -15x = -75 Divide each side by '-15'. x = 5 Simplifying x = 5
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