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Simplifying 5x + -1(4x + 6) = (2x + -23) Reorder the terms: 5x + -1(6 + 4x) = (2x + -23) 5x + (6 * -1 + 4x * -1) = (2x + -23) 5x + (-6 + -4x) = (2x + -23) Reorder the terms: -6 + 5x + -4x = (2x + -23) Combine like terms: 5x + -4x = 1x -6 + 1x = (2x + -23) Reorder the terms: -6 + 1x = (-23 + 2x) Remove parenthesis around (-23 + 2x) -6 + 1x = -23 + 2x Solving -6 + 1x = -23 + 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. -6 + 1x + -2x = -23 + 2x + -2x Combine like terms: 1x + -2x = -1x -6 + -1x = -23 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -1x = -23 + 0 -6 + -1x = -23 Add '6' to each side of the equation. -6 + 6 + -1x = -23 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -23 + 6 -1x = -23 + 6 Combine like terms: -23 + 6 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17
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