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Simplifying 6x + -1(8x + -5) + -3 = 6 + -1(4x + 3) Reorder the terms: 6x + -1(-5 + 8x) + -3 = 6 + -1(4x + 3) 6x + (-5 * -1 + 8x * -1) + -3 = 6 + -1(4x + 3) 6x + (5 + -8x) + -3 = 6 + -1(4x + 3) Reorder the terms: 5 + -3 + 6x + -8x = 6 + -1(4x + 3) Combine like terms: 5 + -3 = 2 2 + 6x + -8x = 6 + -1(4x + 3) Combine like terms: 6x + -8x = -2x 2 + -2x = 6 + -1(4x + 3) Reorder the terms: 2 + -2x = 6 + -1(3 + 4x) 2 + -2x = 6 + (3 * -1 + 4x * -1) 2 + -2x = 6 + (-3 + -4x) Combine like terms: 6 + -3 = 3 2 + -2x = 3 + -4x Solving 2 + -2x = 3 + -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. 2 + -2x + 4x = 3 + -4x + 4x Combine like terms: -2x + 4x = 2x 2 + 2x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 2x = 3 + 0 2 + 2x = 3 Add '-2' to each side of the equation. 2 + -2 + 2x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 3 + -2 2x = 3 + -2 Combine like terms: 3 + -2 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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