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Simplifying 5(x + -3) + 10 = 8x + 1 Reorder the terms: 5(-3 + x) + 10 = 8x + 1 (-3 * 5 + x * 5) + 10 = 8x + 1 (-15 + 5x) + 10 = 8x + 1 Reorder the terms: -15 + 10 + 5x = 8x + 1 Combine like terms: -15 + 10 = -5 -5 + 5x = 8x + 1 Reorder the terms: -5 + 5x = 1 + 8x Solving -5 + 5x = 1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 5x + -8x = 1 + 8x + -8x Combine like terms: 5x + -8x = -3x -5 + -3x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -3x = 1 + 0 -5 + -3x = 1 Add '5' to each side of the equation. -5 + 5 + -3x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 1 + 5 -3x = 1 + 5 Combine like terms: 1 + 5 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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