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Simplifying 6 + 2(2 + -3x) = 6x + 2(2x + -3) 6 + (2 * 2 + -3x * 2) = 6x + 2(2x + -3) 6 + (4 + -6x) = 6x + 2(2x + -3) Combine like terms: 6 + 4 = 10 10 + -6x = 6x + 2(2x + -3) Reorder the terms: 10 + -6x = 6x + 2(-3 + 2x) 10 + -6x = 6x + (-3 * 2 + 2x * 2) 10 + -6x = 6x + (-6 + 4x) Reorder the terms: 10 + -6x = -6 + 6x + 4x Combine like terms: 6x + 4x = 10x 10 + -6x = -6 + 10x Solving 10 + -6x = -6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 10 + -6x + -10x = -6 + 10x + -10x Combine like terms: -6x + -10x = -16x 10 + -16x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + -16x = -6 + 0 10 + -16x = -6 Add '-10' to each side of the equation. 10 + -10 + -16x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -16x = -6 + -10 -16x = -6 + -10 Combine like terms: -6 + -10 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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