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Simplifying 0.5(2x + -6) + 3 = 8(0.3x + -5) Reorder the terms: 0.5(-6 + 2x) + 3 = 8(0.3x + -5) (-6 * 0.5 + 2x * 0.5) + 3 = 8(0.3x + -5) (-3 + 1x) + 3 = 8(0.3x + -5) Reorder the terms: -3 + 3 + 1x = 8(0.3x + -5) Combine like terms: -3 + 3 = 0 0 + 1x = 8(0.3x + -5) 1x = 8(0.3x + -5) Reorder the terms: 1x = 8(-5 + 0.3x) 1x = (-5 * 8 + 0.3x * 8) 1x = (-40 + 2.4x) Solving 1x = -40 + 2.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.4x' to each side of the equation. 1x + -2.4x = -40 + 2.4x + -2.4x Combine like terms: 1x + -2.4x = -1.4x -1.4x = -40 + 2.4x + -2.4x Combine like terms: 2.4x + -2.4x = 0.0 -1.4x = -40 + 0.0 -1.4x = -40 Divide each side by '-1.4'. x = 28.57142857 Simplifying x = 28.57142857
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