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Simplifying 0.50(2x + -6) = 4(x + -1) Reorder the terms: 0.50(-6 + 2x) = 4(x + -1) (-6 * 0.50 + 2x * 0.50) = 4(x + -1) (-3 + 1x) = 4(x + -1) Reorder the terms: -3 + 1x = 4(-1 + x) -3 + 1x = (-1 * 4 + x * 4) -3 + 1x = (-4 + 4x) Solving -3 + 1x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -3 + 1x + -4x = -4 + 4x + -4x Combine like terms: 1x + -4x = -3x -3 + -3x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -3x = -4 + 0 -3 + -3x = -4 Add '3' to each side of the equation. -3 + 3 + -3x = -4 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = -4 + 3 -3x = -4 + 3 Combine like terms: -4 + 3 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333
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