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Simplifying 4(x + 1) + 3 = 3x + 6 Reorder the terms: 4(1 + x) + 3 = 3x + 6 (1 * 4 + x * 4) + 3 = 3x + 6 (4 + 4x) + 3 = 3x + 6 Reorder the terms: 4 + 3 + 4x = 3x + 6 Combine like terms: 4 + 3 = 7 7 + 4x = 3x + 6 Reorder the terms: 7 + 4x = 6 + 3x Solving 7 + 4x = 6 + 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. 7 + 4x + -3x = 6 + 3x + -3x Combine like terms: 4x + -3x = 1x 7 + 1x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 1x = 6 + 0 7 + 1x = 6 Add '-7' to each side of the equation. 7 + -7 + 1x = 6 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 6 + -7 1x = 6 + -7 Combine like terms: 6 + -7 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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