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Simplifying 2 + -3(x + 19) = 5x + 1 Reorder the terms: 2 + -3(19 + x) = 5x + 1 2 + (19 * -3 + x * -3) = 5x + 1 2 + (-57 + -3x) = 5x + 1 Combine like terms: 2 + -57 = -55 -55 + -3x = 5x + 1 Reorder the terms: -55 + -3x = 1 + 5x Solving -55 + -3x = 1 + 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. -55 + -3x + -5x = 1 + 5x + -5x Combine like terms: -3x + -5x = -8x -55 + -8x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -55 + -8x = 1 + 0 -55 + -8x = 1 Add '55' to each side of the equation. -55 + 55 + -8x = 1 + 55 Combine like terms: -55 + 55 = 0 0 + -8x = 1 + 55 -8x = 1 + 55 Combine like terms: 1 + 55 = 56 -8x = 56 Divide each side by '-8'. x = -7 Simplifying x = -7
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