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Simplifying 0.50(2x + -6) + -4x = 6x + -1(4x + -7) Reorder the terms: 0.50(-6 + 2x) + -4x = 6x + -1(4x + -7) (-6 * 0.50 + 2x * 0.50) + -4x = 6x + -1(4x + -7) (-3 + 1x) + -4x = 6x + -1(4x + -7) Combine like terms: 1x + -4x = -3x -3 + -3x = 6x + -1(4x + -7) Reorder the terms: -3 + -3x = 6x + -1(-7 + 4x) -3 + -3x = 6x + (-7 * -1 + 4x * -1) -3 + -3x = 6x + (7 + -4x) Reorder the terms: -3 + -3x = 7 + 6x + -4x Combine like terms: 6x + -4x = 2x -3 + -3x = 7 + 2x Solving -3 + -3x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + -3x + -2x = 7 + 2x + -2x Combine like terms: -3x + -2x = -5x -3 + -5x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -5x = 7 + 0 -3 + -5x = 7 Add '3' to each side of the equation. -3 + 3 + -5x = 7 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 7 + 3 -5x = 7 + 3 Combine like terms: 7 + 3 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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