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Simplifying 8x + 12 = 4 + -3(x + 1) Reorder the terms: 12 + 8x = 4 + -3(x + 1) Reorder the terms: 12 + 8x = 4 + -3(1 + x) 12 + 8x = 4 + (1 * -3 + x * -3) 12 + 8x = 4 + (-3 + -3x) Combine like terms: 4 + -3 = 1 12 + 8x = 1 + -3x Solving 12 + 8x = 1 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 12 + 8x + 3x = 1 + -3x + 3x Combine like terms: 8x + 3x = 11x 12 + 11x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 11x = 1 + 0 12 + 11x = 1 Add '-12' to each side of the equation. 12 + -12 + 11x = 1 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = 1 + -12 11x = 1 + -12 Combine like terms: 1 + -12 = -11 11x = -11 Divide each side by '11'. x = -1 Simplifying x = -1
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