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Simplifying 15(x + -4) + -2(x + -3) + -3(x + 8) = 0 Reorder the terms: 15(-4 + x) + -2(x + -3) + -3(x + 8) = 0 (-4 * 15 + x * 15) + -2(x + -3) + -3(x + 8) = 0 (-60 + 15x) + -2(x + -3) + -3(x + 8) = 0 Reorder the terms: -60 + 15x + -2(-3 + x) + -3(x + 8) = 0 -60 + 15x + (-3 * -2 + x * -2) + -3(x + 8) = 0 -60 + 15x + (6 + -2x) + -3(x + 8) = 0 Reorder the terms: -60 + 15x + 6 + -2x + -3(8 + x) = 0 -60 + 15x + 6 + -2x + (8 * -3 + x * -3) = 0 -60 + 15x + 6 + -2x + (-24 + -3x) = 0 Reorder the terms: -60 + 6 + -24 + 15x + -2x + -3x = 0 Combine like terms: -60 + 6 = -54 -54 + -24 + 15x + -2x + -3x = 0 Combine like terms: -54 + -24 = -78 -78 + 15x + -2x + -3x = 0 Combine like terms: 15x + -2x = 13x -78 + 13x + -3x = 0 Combine like terms: 13x + -3x = 10x -78 + 10x = 0 Solving -78 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '78' to each side of the equation. -78 + 78 + 10x = 0 + 78 Combine like terms: -78 + 78 = 0 0 + 10x = 0 + 78 10x = 0 + 78 Combine like terms: 0 + 78 = 78 10x = 78 Divide each side by '10'. x = 7.8 Simplifying x = 7.8
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