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Simplifying 4(x + 1) = -3x + 12 Reorder the terms: 4(1 + x) = -3x + 12 (1 * 4 + x * 4) = -3x + 12 (4 + 4x) = -3x + 12 Reorder the terms: 4 + 4x = 12 + -3x Solving 4 + 4x = 12 + -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. 4 + 4x + 3x = 12 + -3x + 3x Combine like terms: 4x + 3x = 7x 4 + 7x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 7x = 12 + 0 4 + 7x = 12 Add '-4' to each side of the equation. 4 + -4 + 7x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 12 + -4 7x = 12 + -4 Combine like terms: 12 + -4 = 8 7x = 8 Divide each side by '7'. x = 1.142857143 Simplifying x = 1.142857143
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