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Simplifying 5x + 1 + -3(2x + 5) = 2x + 10 Reorder the terms: 5x + 1 + -3(5 + 2x) = 2x + 10 5x + 1 + (5 * -3 + 2x * -3) = 2x + 10 5x + 1 + (-15 + -6x) = 2x + 10 Reorder the terms: 1 + -15 + 5x + -6x = 2x + 10 Combine like terms: 1 + -15 = -14 -14 + 5x + -6x = 2x + 10 Combine like terms: 5x + -6x = -1x -14 + -1x = 2x + 10 Reorder the terms: -14 + -1x = 10 + 2x Solving -14 + -1x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -14 + -1x + -2x = 10 + 2x + -2x Combine like terms: -1x + -2x = -3x -14 + -3x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + -3x = 10 + 0 -14 + -3x = 10 Add '14' to each side of the equation. -14 + 14 + -3x = 10 + 14 Combine like terms: -14 + 14 = 0 0 + -3x = 10 + 14 -3x = 10 + 14 Combine like terms: 10 + 14 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
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