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Simplifying 4(x + -0.5) + -1x = 6(5 + -1x) Reorder the terms: 4(-0.5 + x) + -1x = 6(5 + -1x) (-0.5 * 4 + x * 4) + -1x = 6(5 + -1x) (-2 + 4x) + -1x = 6(5 + -1x) Combine like terms: 4x + -1x = 3x -2 + 3x = 6(5 + -1x) -2 + 3x = (5 * 6 + -1x * 6) -2 + 3x = (30 + -6x) Solving -2 + 3x = 30 + -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. -2 + 3x + 6x = 30 + -6x + 6x Combine like terms: 3x + 6x = 9x -2 + 9x = 30 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + 9x = 30 + 0 -2 + 9x = 30 Add '2' to each side of the equation. -2 + 2 + 9x = 30 + 2 Combine like terms: -2 + 2 = 0 0 + 9x = 30 + 2 9x = 30 + 2 Combine like terms: 30 + 2 = 32 9x = 32 Divide each side by '9'. x = 3.555555556 Simplifying x = 3.555555556
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