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Simplifying 4(2x + 1) = -3(x + -2) + -1 Reorder the terms: 4(1 + 2x) = -3(x + -2) + -1 (1 * 4 + 2x * 4) = -3(x + -2) + -1 (4 + 8x) = -3(x + -2) + -1 Reorder the terms: 4 + 8x = -3(-2 + x) + -1 4 + 8x = (-2 * -3 + x * -3) + -1 4 + 8x = (6 + -3x) + -1 Reorder the terms: 4 + 8x = 6 + -1 + -3x Combine like terms: 6 + -1 = 5 4 + 8x = 5 + -3x Solving 4 + 8x = 5 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4 + 8x + 3x = 5 + -3x + 3x Combine like terms: 8x + 3x = 11x 4 + 11x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 11x = 5 + 0 4 + 11x = 5 Add '-4' to each side of the equation. 4 + -4 + 11x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 11x = 5 + -4 11x = 5 + -4 Combine like terms: 5 + -4 = 1 11x = 1 Divide each side by '11'. x = 0.09090909091 Simplifying x = 0.09090909091
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