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Simplifying 2(3x + -6) + 0.5x = 4(x + -2) + -0.5x Reorder the terms: 2(-6 + 3x) + 0.5x = 4(x + -2) + -0.5x (-6 * 2 + 3x * 2) + 0.5x = 4(x + -2) + -0.5x (-12 + 6x) + 0.5x = 4(x + -2) + -0.5x Combine like terms: 6x + 0.5x = 6.5x -12 + 6.5x = 4(x + -2) + -0.5x Reorder the terms: -12 + 6.5x = 4(-2 + x) + -0.5x -12 + 6.5x = (-2 * 4 + x * 4) + -0.5x -12 + 6.5x = (-8 + 4x) + -0.5x Combine like terms: 4x + -0.5x = 3.5x -12 + 6.5x = -8 + 3.5x Solving -12 + 6.5x = -8 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. -12 + 6.5x + -3.5x = -8 + 3.5x + -3.5x Combine like terms: 6.5x + -3.5x = 3x -12 + 3x = -8 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 -12 + 3x = -8 + 0.0 -12 + 3x = -8 Add '12' to each side of the equation. -12 + 12 + 3x = -8 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = -8 + 12 3x = -8 + 12 Combine like terms: -8 + 12 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333
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