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Simplifying 6x + -3 = 6(x + -1) + -5x + 8 Reorder the terms: -3 + 6x = 6(x + -1) + -5x + 8 Reorder the terms: -3 + 6x = 6(-1 + x) + -5x + 8 -3 + 6x = (-1 * 6 + x * 6) + -5x + 8 -3 + 6x = (-6 + 6x) + -5x + 8 Reorder the terms: -3 + 6x = -6 + 8 + 6x + -5x Combine like terms: -6 + 8 = 2 -3 + 6x = 2 + 6x + -5x Combine like terms: 6x + -5x = 1x -3 + 6x = 2 + 1x Solving -3 + 6x = 2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -3 + 6x + -1x = 2 + 1x + -1x Combine like terms: 6x + -1x = 5x -3 + 5x = 2 + 1x + -1x Combine like terms: 1x + -1x = 0 -3 + 5x = 2 + 0 -3 + 5x = 2 Add '3' to each side of the equation. -3 + 3 + 5x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 2 + 3 5x = 2 + 3 Combine like terms: 2 + 3 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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