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Simplifying 0.7(4x + -5) = x + 0.7 Reorder the terms: 0.7(-5 + 4x) = x + 0.7 (-5 * 0.7 + 4x * 0.7) = x + 0.7 (-3.5 + 2.8x) = x + 0.7 Reorder the terms: -3.5 + 2.8x = 0.7 + x Solving -3.5 + 2.8x = 0.7 + 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. -3.5 + 2.8x + -1x = 0.7 + x + -1x Combine like terms: 2.8x + -1x = 1.8x -3.5 + 1.8x = 0.7 + x + -1x Combine like terms: x + -1x = 0 -3.5 + 1.8x = 0.7 + 0 -3.5 + 1.8x = 0.7 Add '3.5' to each side of the equation. -3.5 + 3.5 + 1.8x = 0.7 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 1.8x = 0.7 + 3.5 1.8x = 0.7 + 3.5 Combine like terms: 0.7 + 3.5 = 4.2 1.8x = 4.2 Divide each side by '1.8'. x = 2.333333333 Simplifying x = 2.333333333
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