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Simplifying 5(x + 1) + 1 = 12(x + -3) Reorder the terms: 5(1 + x) + 1 = 12(x + -3) (1 * 5 + x * 5) + 1 = 12(x + -3) (5 + 5x) + 1 = 12(x + -3) Reorder the terms: 5 + 1 + 5x = 12(x + -3) Combine like terms: 5 + 1 = 6 6 + 5x = 12(x + -3) Reorder the terms: 6 + 5x = 12(-3 + x) 6 + 5x = (-3 * 12 + x * 12) 6 + 5x = (-36 + 12x) Solving 6 + 5x = -36 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 6 + 5x + -12x = -36 + 12x + -12x Combine like terms: 5x + -12x = -7x 6 + -7x = -36 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -7x = -36 + 0 6 + -7x = -36 Add '-6' to each side of the equation. 6 + -6 + -7x = -36 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = -36 + -6 -7x = -36 + -6 Combine like terms: -36 + -6 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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