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Simplifying 4(3 + 2) + -6x = 2(3 + x) + 6 Combine like terms: 3 + 2 = 5 4(5) + -6x = 2(3 + x) + 6 Multiply 4 * 5 20 + -6x = 2(3 + x) + 6 20 + -6x = (3 * 2 + x * 2) + 6 20 + -6x = (6 + 2x) + 6 Reorder the terms: 20 + -6x = 6 + 6 + 2x Combine like terms: 6 + 6 = 12 20 + -6x = 12 + 2x Solving 20 + -6x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 20 + -6x + -2x = 12 + 2x + -2x Combine like terms: -6x + -2x = -8x 20 + -8x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + -8x = 12 + 0 20 + -8x = 12 Add '-20' to each side of the equation. 20 + -20 + -8x = 12 + -20 Combine like terms: 20 + -20 = 0 0 + -8x = 12 + -20 -8x = 12 + -20 Combine like terms: 12 + -20 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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