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Simplifying 8(x + -3) + -5(-2x + 6) + 0.5(4x + -10) = 0 Reorder the terms: 8(-3 + x) + -5(-2x + 6) + 0.5(4x + -10) = 0 (-3 * 8 + x * 8) + -5(-2x + 6) + 0.5(4x + -10) = 0 (-24 + 8x) + -5(-2x + 6) + 0.5(4x + -10) = 0 Reorder the terms: -24 + 8x + -5(6 + -2x) + 0.5(4x + -10) = 0 -24 + 8x + (6 * -5 + -2x * -5) + 0.5(4x + -10) = 0 -24 + 8x + (-30 + 10x) + 0.5(4x + -10) = 0 Reorder the terms: -24 + 8x + -30 + 10x + 0.5(-10 + 4x) = 0 -24 + 8x + -30 + 10x + (-10 * 0.5 + 4x * 0.5) = 0 -24 + 8x + -30 + 10x + (-5 + 2x) = 0 Reorder the terms: -24 + -30 + -5 + 8x + 10x + 2x = 0 Combine like terms: -24 + -30 = -54 -54 + -5 + 8x + 10x + 2x = 0 Combine like terms: -54 + -5 = -59 -59 + 8x + 10x + 2x = 0 Combine like terms: 8x + 10x = 18x -59 + 18x + 2x = 0 Combine like terms: 18x + 2x = 20x -59 + 20x = 0 Solving -59 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '59' to each side of the equation. -59 + 59 + 20x = 0 + 59 Combine like terms: -59 + 59 = 0 0 + 20x = 0 + 59 20x = 0 + 59 Combine like terms: 0 + 59 = 59 20x = 59 Divide each side by '20'. x = 2.95 Simplifying x = 2.95
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