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Simplifying 4(x + 2) + 2 = 3x + -6 Reorder the terms: 4(2 + x) + 2 = 3x + -6 (2 * 4 + x * 4) + 2 = 3x + -6 (8 + 4x) + 2 = 3x + -6 Reorder the terms: 8 + 2 + 4x = 3x + -6 Combine like terms: 8 + 2 = 10 10 + 4x = 3x + -6 Reorder the terms: 10 + 4x = -6 + 3x Solving 10 + 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. 10 + 4x + -3x = -6 + 3x + -3x Combine like terms: 4x + -3x = 1x 10 + 1x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 1x = -6 + 0 10 + 1x = -6 Add '-10' to each side of the equation. 10 + -10 + 1x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = -6 + -10 1x = -6 + -10 Combine like terms: -6 + -10 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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