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Simplifying -4(x + 2) = 3(2x + 1) Reorder the terms: -4(2 + x) = 3(2x + 1) (2 * -4 + x * -4) = 3(2x + 1) (-8 + -4x) = 3(2x + 1) Reorder the terms: -8 + -4x = 3(1 + 2x) -8 + -4x = (1 * 3 + 2x * 3) -8 + -4x = (3 + 6x) Solving -8 + -4x = 3 + 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. -8 + -4x + -6x = 3 + 6x + -6x Combine like terms: -4x + -6x = -10x -8 + -10x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -10x = 3 + 0 -8 + -10x = 3 Add '8' to each side of the equation. -8 + 8 + -10x = 3 + 8 Combine like terms: -8 + 8 = 0 0 + -10x = 3 + 8 -10x = 3 + 8 Combine like terms: 3 + 8 = 11 -10x = 11 Divide each side by '-10'. x = -1.1 Simplifying x = -1.1
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