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Simplifying 0.5(x + -7) = 0.8(x + -4) Reorder the terms: 0.5(-7 + x) = 0.8(x + -4) (-7 * 0.5 + x * 0.5) = 0.8(x + -4) (-3.5 + 0.5x) = 0.8(x + -4) Reorder the terms: -3.5 + 0.5x = 0.8(-4 + x) -3.5 + 0.5x = (-4 * 0.8 + x * 0.8) -3.5 + 0.5x = (-3.2 + 0.8x) Solving -3.5 + 0.5x = -3.2 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. -3.5 + 0.5x + -0.8x = -3.2 + 0.8x + -0.8x Combine like terms: 0.5x + -0.8x = -0.3x -3.5 + -0.3x = -3.2 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -3.5 + -0.3x = -3.2 + 0.0 -3.5 + -0.3x = -3.2 Add '3.5' to each side of the equation. -3.5 + 3.5 + -0.3x = -3.2 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + -0.3x = -3.2 + 3.5 -0.3x = -3.2 + 3.5 Combine like terms: -3.2 + 3.5 = 0.3 -0.3x = 0.3 Divide each side by '-0.3'. x = -1 Simplifying x = -1
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