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Simplifying 4(x + 3) + 2x = 3x + -6 Reorder the terms: 4(3 + x) + 2x = 3x + -6 (3 * 4 + x * 4) + 2x = 3x + -6 (12 + 4x) + 2x = 3x + -6 Combine like terms: 4x + 2x = 6x 12 + 6x = 3x + -6 Reorder the terms: 12 + 6x = -6 + 3x Solving 12 + 6x = -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. 12 + 6x + -3x = -6 + 3x + -3x Combine like terms: 6x + -3x = 3x 12 + 3x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 3x = -6 + 0 12 + 3x = -6 Add '-12' to each side of the equation. 12 + -12 + 3x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = -6 + -12 3x = -6 + -12 Combine like terms: -6 + -12 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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