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Simplifying 15(x + -5) + 10(x + -4) = 6(x + 20) Reorder the terms: 15(-5 + x) + 10(x + -4) = 6(x + 20) (-5 * 15 + x * 15) + 10(x + -4) = 6(x + 20) (-75 + 15x) + 10(x + -4) = 6(x + 20) Reorder the terms: -75 + 15x + 10(-4 + x) = 6(x + 20) -75 + 15x + (-4 * 10 + x * 10) = 6(x + 20) -75 + 15x + (-40 + 10x) = 6(x + 20) Reorder the terms: -75 + -40 + 15x + 10x = 6(x + 20) Combine like terms: -75 + -40 = -115 -115 + 15x + 10x = 6(x + 20) Combine like terms: 15x + 10x = 25x -115 + 25x = 6(x + 20) Reorder the terms: -115 + 25x = 6(20 + x) -115 + 25x = (20 * 6 + x * 6) -115 + 25x = (120 + 6x) Solving -115 + 25x = 120 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -115 + 25x + -6x = 120 + 6x + -6x Combine like terms: 25x + -6x = 19x -115 + 19x = 120 + 6x + -6x Combine like terms: 6x + -6x = 0 -115 + 19x = 120 + 0 -115 + 19x = 120 Add '115' to each side of the equation. -115 + 115 + 19x = 120 + 115 Combine like terms: -115 + 115 = 0 0 + 19x = 120 + 115 19x = 120 + 115 Combine like terms: 120 + 115 = 235 19x = 235 Divide each side by '19'. x = 12.36842105 Simplifying x = 12.36842105
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