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Simplifying 4(x + 3) = 3(x + -2) + 1 Reorder the terms: 4(3 + x) = 3(x + -2) + 1 (3 * 4 + x * 4) = 3(x + -2) + 1 (12 + 4x) = 3(x + -2) + 1 Reorder the terms: 12 + 4x = 3(-2 + x) + 1 12 + 4x = (-2 * 3 + x * 3) + 1 12 + 4x = (-6 + 3x) + 1 Reorder the terms: 12 + 4x = -6 + 1 + 3x Combine like terms: -6 + 1 = -5 12 + 4x = -5 + 3x Solving 12 + 4x = -5 + 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 + 4x + -3x = -5 + 3x + -3x Combine like terms: 4x + -3x = 1x 12 + 1x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 1x = -5 + 0 12 + 1x = -5 Add '-12' to each side of the equation. 12 + -12 + 1x = -5 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -5 + -12 1x = -5 + -12 Combine like terms: -5 + -12 = -17 1x = -17 Divide each side by '1'. x = -17 Simplifying x = -17
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