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Simplifying 0.5(6x + 4) = 5(2x + -8) Reorder the terms: 0.5(4 + 6x) = 5(2x + -8) (4 * 0.5 + 6x * 0.5) = 5(2x + -8) (2 + 3x) = 5(2x + -8) Reorder the terms: 2 + 3x = 5(-8 + 2x) 2 + 3x = (-8 * 5 + 2x * 5) 2 + 3x = (-40 + 10x) Solving 2 + 3x = -40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 2 + 3x + -10x = -40 + 10x + -10x Combine like terms: 3x + -10x = -7x 2 + -7x = -40 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + -7x = -40 + 0 2 + -7x = -40 Add '-2' to each side of the equation. 2 + -2 + -7x = -40 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = -40 + -2 -7x = -40 + -2 Combine like terms: -40 + -2 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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