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Simplifying 7x + 4 = 0.125(8x + -40) Reorder the terms: 4 + 7x = 0.125(8x + -40) Reorder the terms: 4 + 7x = 0.125(-40 + 8x) 4 + 7x = (-40 * 0.125 + 8x * 0.125) 4 + 7x = (-5 + 1x) Solving 4 + 7x = -5 + 1x 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. 4 + 7x + -1x = -5 + 1x + -1x Combine like terms: 7x + -1x = 6x 4 + 6x = -5 + 1x + -1x Combine like terms: 1x + -1x = 0 4 + 6x = -5 + 0 4 + 6x = -5 Add '-4' to each side of the equation. 4 + -4 + 6x = -5 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = -5 + -4 6x = -5 + -4 Combine like terms: -5 + -4 = -9 6x = -9 Divide each side by '6'. x = -1.5 Simplifying x = -1.5
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