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Simplifying 5x + -6 = 3(10 + -1x) Reorder the terms: -6 + 5x = 3(10 + -1x) -6 + 5x = (10 * 3 + -1x * 3) -6 + 5x = (30 + -3x) Solving -6 + 5x = 30 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -6 + 5x + 3x = 30 + -3x + 3x Combine like terms: 5x + 3x = 8x -6 + 8x = 30 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 8x = 30 + 0 -6 + 8x = 30 Add '6' to each side of the equation. -6 + 6 + 8x = 30 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 30 + 6 8x = 30 + 6 Combine like terms: 30 + 6 = 36 8x = 36 Divide each side by '8'. x = 4.5 Simplifying x = 4.5
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