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Simplifying 4(x + -6) + 5 = 2x + -1 Reorder the terms: 4(-6 + x) + 5 = 2x + -1 (-6 * 4 + x * 4) + 5 = 2x + -1 (-24 + 4x) + 5 = 2x + -1 Reorder the terms: -24 + 5 + 4x = 2x + -1 Combine like terms: -24 + 5 = -19 -19 + 4x = 2x + -1 Reorder the terms: -19 + 4x = -1 + 2x Solving -19 + 4x = -1 + 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. -19 + 4x + -2x = -1 + 2x + -2x Combine like terms: 4x + -2x = 2x -19 + 2x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -19 + 2x = -1 + 0 -19 + 2x = -1 Add '19' to each side of the equation. -19 + 19 + 2x = -1 + 19 Combine like terms: -19 + 19 = 0 0 + 2x = -1 + 19 2x = -1 + 19 Combine like terms: -1 + 19 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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