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Simplifying 4(x + 1) = 6 + -2(3x + -2) Reorder the terms: 4(1 + x) = 6 + -2(3x + -2) (1 * 4 + x * 4) = 6 + -2(3x + -2) (4 + 4x) = 6 + -2(3x + -2) Reorder the terms: 4 + 4x = 6 + -2(-2 + 3x) 4 + 4x = 6 + (-2 * -2 + 3x * -2) 4 + 4x = 6 + (4 + -6x) Combine like terms: 6 + 4 = 10 4 + 4x = 10 + -6x Solving 4 + 4x = 10 + -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. 4 + 4x + 6x = 10 + -6x + 6x Combine like terms: 4x + 6x = 10x 4 + 10x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + 10x = 10 + 0 4 + 10x = 10 Add '-4' to each side of the equation. 4 + -4 + 10x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = 10 + -4 10x = 10 + -4 Combine like terms: 10 + -4 = 6 10x = 6 Divide each side by '10'. x = 0.6 Simplifying x = 0.6
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