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Simplifying 5(3x + -5) + 4x = 5x + -6(x + 4) Reorder the terms: 5(-5 + 3x) + 4x = 5x + -6(x + 4) (-5 * 5 + 3x * 5) + 4x = 5x + -6(x + 4) (-25 + 15x) + 4x = 5x + -6(x + 4) Combine like terms: 15x + 4x = 19x -25 + 19x = 5x + -6(x + 4) Reorder the terms: -25 + 19x = 5x + -6(4 + x) -25 + 19x = 5x + (4 * -6 + x * -6) -25 + 19x = 5x + (-24 + -6x) Reorder the terms: -25 + 19x = -24 + 5x + -6x Combine like terms: 5x + -6x = -1x -25 + 19x = -24 + -1x Solving -25 + 19x = -24 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -25 + 19x + x = -24 + -1x + x Combine like terms: 19x + x = 20x -25 + 20x = -24 + -1x + x Combine like terms: -1x + x = 0 -25 + 20x = -24 + 0 -25 + 20x = -24 Add '25' to each side of the equation. -25 + 25 + 20x = -24 + 25 Combine like terms: -25 + 25 = 0 0 + 20x = -24 + 25 20x = -24 + 25 Combine like terms: -24 + 25 = 1 20x = 1 Divide each side by '20'. x = 0.05 Simplifying x = 0.05
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