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Simplifying 11 + 6(8 + -7x) = 5 + -15x 11 + (8 * 6 + -7x * 6) = 5 + -15x 11 + (48 + -42x) = 5 + -15x Combine like terms: 11 + 48 = 59 59 + -42x = 5 + -15x Solving 59 + -42x = 5 + -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. 59 + -42x + 15x = 5 + -15x + 15x Combine like terms: -42x + 15x = -27x 59 + -27x = 5 + -15x + 15x Combine like terms: -15x + 15x = 0 59 + -27x = 5 + 0 59 + -27x = 5 Add '-59' to each side of the equation. 59 + -59 + -27x = 5 + -59 Combine like terms: 59 + -59 = 0 0 + -27x = 5 + -59 -27x = 5 + -59 Combine like terms: 5 + -59 = -54 -27x = -54 Divide each side by '-27'. x = 2 Simplifying x = 2
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