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Simplifying 19x + 8(x + -5) = 10(4x + -5) Reorder the terms: 19x + 8(-5 + x) = 10(4x + -5) 19x + (-5 * 8 + x * 8) = 10(4x + -5) 19x + (-40 + 8x) = 10(4x + -5) Reorder the terms: -40 + 19x + 8x = 10(4x + -5) Combine like terms: 19x + 8x = 27x -40 + 27x = 10(4x + -5) Reorder the terms: -40 + 27x = 10(-5 + 4x) -40 + 27x = (-5 * 10 + 4x * 10) -40 + 27x = (-50 + 40x) Solving -40 + 27x = -50 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -40 + 27x + -40x = -50 + 40x + -40x Combine like terms: 27x + -40x = -13x -40 + -13x = -50 + 40x + -40x Combine like terms: 40x + -40x = 0 -40 + -13x = -50 + 0 -40 + -13x = -50 Add '40' to each side of the equation. -40 + 40 + -13x = -50 + 40 Combine like terms: -40 + 40 = 0 0 + -13x = -50 + 40 -13x = -50 + 40 Combine like terms: -50 + 40 = -10 -13x = -10 Divide each side by '-13'. x = 0.7692307692 Simplifying x = 0.7692307692
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