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Simplifying 3x + -8(x + -2) = 5(4 + -3x) + -1 Reorder the terms: 3x + -8(-2 + x) = 5(4 + -3x) + -1 3x + (-2 * -8 + x * -8) = 5(4 + -3x) + -1 3x + (16 + -8x) = 5(4 + -3x) + -1 Reorder the terms: 16 + 3x + -8x = 5(4 + -3x) + -1 Combine like terms: 3x + -8x = -5x 16 + -5x = 5(4 + -3x) + -1 16 + -5x = (4 * 5 + -3x * 5) + -1 16 + -5x = (20 + -15x) + -1 Reorder the terms: 16 + -5x = 20 + -1 + -15x Combine like terms: 20 + -1 = 19 16 + -5x = 19 + -15x Solving 16 + -5x = 19 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 16 + -5x + 15x = 19 + -15x + 15x Combine like terms: -5x + 15x = 10x 16 + 10x = 19 + -15x + 15x Combine like terms: -15x + 15x = 0 16 + 10x = 19 + 0 16 + 10x = 19 Add '-16' to each side of the equation. 16 + -16 + 10x = 19 + -16 Combine like terms: 16 + -16 = 0 0 + 10x = 19 + -16 10x = 19 + -16 Combine like terms: 19 + -16 = 3 10x = 3 Divide each side by '10'. x = 0.3 Simplifying x = 0.3
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