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Simplifying 4(x + 3) + 8 = 6x + -2 Reorder the terms: 4(3 + x) + 8 = 6x + -2 (3 * 4 + x * 4) + 8 = 6x + -2 (12 + 4x) + 8 = 6x + -2 Reorder the terms: 12 + 8 + 4x = 6x + -2 Combine like terms: 12 + 8 = 20 20 + 4x = 6x + -2 Reorder the terms: 20 + 4x = -2 + 6x Solving 20 + 4x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 20 + 4x + -6x = -2 + 6x + -6x Combine like terms: 4x + -6x = -2x 20 + -2x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + -2x = -2 + 0 20 + -2x = -2 Add '-20' to each side of the equation. 20 + -20 + -2x = -2 + -20 Combine like terms: 20 + -20 = 0 0 + -2x = -2 + -20 -2x = -2 + -20 Combine like terms: -2 + -20 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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