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Simplifying 2(x + -3) + 0.5(6x + -16) = x + -4 Reorder the terms: 2(-3 + x) + 0.5(6x + -16) = x + -4 (-3 * 2 + x * 2) + 0.5(6x + -16) = x + -4 (-6 + 2x) + 0.5(6x + -16) = x + -4 Reorder the terms: -6 + 2x + 0.5(-16 + 6x) = x + -4 -6 + 2x + (-16 * 0.5 + 6x * 0.5) = x + -4 -6 + 2x + (-8 + 3x) = x + -4 Reorder the terms: -6 + -8 + 2x + 3x = x + -4 Combine like terms: -6 + -8 = -14 -14 + 2x + 3x = x + -4 Combine like terms: 2x + 3x = 5x -14 + 5x = x + -4 Reorder the terms: -14 + 5x = -4 + x Solving -14 + 5x = -4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -14 + 5x + -1x = -4 + x + -1x Combine like terms: 5x + -1x = 4x -14 + 4x = -4 + x + -1x Combine like terms: x + -1x = 0 -14 + 4x = -4 + 0 -14 + 4x = -4 Add '14' to each side of the equation. -14 + 14 + 4x = -4 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = -4 + 14 4x = -4 + 14 Combine like terms: -4 + 14 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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