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Simplifying 4(2x + 1) + -5 = 8 + -3(x + -2) Reorder the terms: 4(1 + 2x) + -5 = 8 + -3(x + -2) (1 * 4 + 2x * 4) + -5 = 8 + -3(x + -2) (4 + 8x) + -5 = 8 + -3(x + -2) Reorder the terms: 4 + -5 + 8x = 8 + -3(x + -2) Combine like terms: 4 + -5 = -1 -1 + 8x = 8 + -3(x + -2) Reorder the terms: -1 + 8x = 8 + -3(-2 + x) -1 + 8x = 8 + (-2 * -3 + x * -3) -1 + 8x = 8 + (6 + -3x) Combine like terms: 8 + 6 = 14 -1 + 8x = 14 + -3x Solving -1 + 8x = 14 + -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. -1 + 8x + 3x = 14 + -3x + 3x Combine like terms: 8x + 3x = 11x -1 + 11x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 -1 + 11x = 14 + 0 -1 + 11x = 14 Add '1' to each side of the equation. -1 + 1 + 11x = 14 + 1 Combine like terms: -1 + 1 = 0 0 + 11x = 14 + 1 11x = 14 + 1 Combine like terms: 14 + 1 = 15 11x = 15 Divide each side by '11'. x = 1.363636364 Simplifying x = 1.363636364
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