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Simplifying 4x + 3 = 2 + -1(6x + -6) Reorder the terms: 3 + 4x = 2 + -1(6x + -6) Reorder the terms: 3 + 4x = 2 + -1(-6 + 6x) 3 + 4x = 2 + (-6 * -1 + 6x * -1) 3 + 4x = 2 + (6 + -6x) Combine like terms: 2 + 6 = 8 3 + 4x = 8 + -6x Solving 3 + 4x = 8 + -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. 3 + 4x + 6x = 8 + -6x + 6x Combine like terms: 4x + 6x = 10x 3 + 10x = 8 + -6x + 6x Combine like terms: -6x + 6x = 0 3 + 10x = 8 + 0 3 + 10x = 8 Add '-3' to each side of the equation. 3 + -3 + 10x = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 10x = 8 + -3 10x = 8 + -3 Combine like terms: 8 + -3 = 5 10x = 5 Divide each side by '10'. x = 0.5 Simplifying x = 0.5
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