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Simplifying 5x + 1 = 4(x + -6) + 5 Reorder the terms: 1 + 5x = 4(x + -6) + 5 Reorder the terms: 1 + 5x = 4(-6 + x) + 5 1 + 5x = (-6 * 4 + x * 4) + 5 1 + 5x = (-24 + 4x) + 5 Reorder the terms: 1 + 5x = -24 + 5 + 4x Combine like terms: -24 + 5 = -19 1 + 5x = -19 + 4x Solving 1 + 5x = -19 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + 5x + -4x = -19 + 4x + -4x Combine like terms: 5x + -4x = 1x 1 + 1x = -19 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + 1x = -19 + 0 1 + 1x = -19 Add '-1' to each side of the equation. 1 + -1 + 1x = -19 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = -19 + -1 1x = -19 + -1 Combine like terms: -19 + -1 = -20 1x = -20 Divide each side by '1'. x = -20 Simplifying x = -20
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