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Simplifying -6x + 5 + -3(x + -1) = -1(5x + -4) + -3 + 3 Reorder the terms: -6x + 5 + -3(-1 + x) = -1(5x + -4) + -3 + 3 -6x + 5 + (-1 * -3 + x * -3) = -1(5x + -4) + -3 + 3 -6x + 5 + (3 + -3x) = -1(5x + -4) + -3 + 3 Reorder the terms: 5 + 3 + -6x + -3x = -1(5x + -4) + -3 + 3 Combine like terms: 5 + 3 = 8 8 + -6x + -3x = -1(5x + -4) + -3 + 3 Combine like terms: -6x + -3x = -9x 8 + -9x = -1(5x + -4) + -3 + 3 Reorder the terms: 8 + -9x = -1(-4 + 5x) + -3 + 3 8 + -9x = (-4 * -1 + 5x * -1) + -3 + 3 8 + -9x = (4 + -5x) + -3 + 3 Reorder the terms: 8 + -9x = 4 + -3 + 3 + -5x Combine like terms: 4 + -3 = 1 8 + -9x = 1 + 3 + -5x Combine like terms: 1 + 3 = 4 8 + -9x = 4 + -5x Solving 8 + -9x = 4 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 8 + -9x + 5x = 4 + -5x + 5x Combine like terms: -9x + 5x = -4x 8 + -4x = 4 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + -4x = 4 + 0 8 + -4x = 4 Add '-8' to each side of the equation. 8 + -8 + -4x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = 4 + -8 -4x = 4 + -8 Combine like terms: 4 + -8 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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