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Simplifying 5 + -4(2x + -1) = 6x + -3(4x + -2) Reorder the terms: 5 + -4(-1 + 2x) = 6x + -3(4x + -2) 5 + (-1 * -4 + 2x * -4) = 6x + -3(4x + -2) 5 + (4 + -8x) = 6x + -3(4x + -2) Combine like terms: 5 + 4 = 9 9 + -8x = 6x + -3(4x + -2) Reorder the terms: 9 + -8x = 6x + -3(-2 + 4x) 9 + -8x = 6x + (-2 * -3 + 4x * -3) 9 + -8x = 6x + (6 + -12x) Reorder the terms: 9 + -8x = 6 + 6x + -12x Combine like terms: 6x + -12x = -6x 9 + -8x = 6 + -6x Solving 9 + -8x = 6 + -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. 9 + -8x + 6x = 6 + -6x + 6x Combine like terms: -8x + 6x = -2x 9 + -2x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + -2x = 6 + 0 9 + -2x = 6 Add '-9' to each side of the equation. 9 + -9 + -2x = 6 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 6 + -9 -2x = 6 + -9 Combine like terms: 6 + -9 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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