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Simplifying 4x + -6 = 5(x + -5) Reorder the terms: -6 + 4x = 5(x + -5) Reorder the terms: -6 + 4x = 5(-5 + x) -6 + 4x = (-5 * 5 + x * 5) -6 + 4x = (-25 + 5x) Solving -6 + 4x = -25 + 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. -6 + 4x + -5x = -25 + 5x + -5x Combine like terms: 4x + -5x = -1x -6 + -1x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -1x = -25 + 0 -6 + -1x = -25 Add '6' to each side of the equation. -6 + 6 + -1x = -25 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -25 + 6 -1x = -25 + 6 Combine like terms: -25 + 6 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19
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