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Simplifying 3(2x + 1) = -4(x + 1) Reorder the terms: 3(1 + 2x) = -4(x + 1) (1 * 3 + 2x * 3) = -4(x + 1) (3 + 6x) = -4(x + 1) Reorder the terms: 3 + 6x = -4(1 + x) 3 + 6x = (1 * -4 + x * -4) 3 + 6x = (-4 + -4x) Solving 3 + 6x = -4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3 + 6x + 4x = -4 + -4x + 4x Combine like terms: 6x + 4x = 10x 3 + 10x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + 10x = -4 + 0 3 + 10x = -4 Add '-3' to each side of the equation. 3 + -3 + 10x = -4 + -3 Combine like terms: 3 + -3 = 0 0 + 10x = -4 + -3 10x = -4 + -3 Combine like terms: -4 + -3 = -7 10x = -7 Divide each side by '10'. x = -0.7 Simplifying x = -0.7
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