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Simplifying 5(3x + -5) = 4(x + -2) + 10 Reorder the terms: 5(-5 + 3x) = 4(x + -2) + 10 (-5 * 5 + 3x * 5) = 4(x + -2) + 10 (-25 + 15x) = 4(x + -2) + 10 Reorder the terms: -25 + 15x = 4(-2 + x) + 10 -25 + 15x = (-2 * 4 + x * 4) + 10 -25 + 15x = (-8 + 4x) + 10 Reorder the terms: -25 + 15x = -8 + 10 + 4x Combine like terms: -8 + 10 = 2 -25 + 15x = 2 + 4x Solving -25 + 15x = 2 + 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. -25 + 15x + -4x = 2 + 4x + -4x Combine like terms: 15x + -4x = 11x -25 + 11x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -25 + 11x = 2 + 0 -25 + 11x = 2 Add '25' to each side of the equation. -25 + 25 + 11x = 2 + 25 Combine like terms: -25 + 25 = 0 0 + 11x = 2 + 25 11x = 2 + 25 Combine like terms: 2 + 25 = 27 11x = 27 Divide each side by '11'. x = 2.454545455 Simplifying x = 2.454545455
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