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Simplifying 7 = 5(3x + 1) + -4(x + -6) Reorder the terms: 7 = 5(1 + 3x) + -4(x + -6) 7 = (1 * 5 + 3x * 5) + -4(x + -6) 7 = (5 + 15x) + -4(x + -6) Reorder the terms: 7 = 5 + 15x + -4(-6 + x) 7 = 5 + 15x + (-6 * -4 + x * -4) 7 = 5 + 15x + (24 + -4x) Reorder the terms: 7 = 5 + 24 + 15x + -4x Combine like terms: 5 + 24 = 29 7 = 29 + 15x + -4x Combine like terms: 15x + -4x = 11x 7 = 29 + 11x Solving 7 = 29 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 7 + -11x = 29 + 11x + -11x Combine like terms: 11x + -11x = 0 7 + -11x = 29 + 0 7 + -11x = 29 Add '-7' to each side of the equation. 7 + -7 + -11x = 29 + -7 Combine like terms: 7 + -7 = 0 0 + -11x = 29 + -7 -11x = 29 + -7 Combine like terms: 29 + -7 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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