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