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Simplifying -0.8(x + -5) = 0.7(10x + -5) Reorder the terms: -0.8(-5 + x) = 0.7(10x + -5) (-5 * -0.8 + x * -0.8) = 0.7(10x + -5) (4 + -0.8x) = 0.7(10x + -5) Reorder the terms: 4 + -0.8x = 0.7(-5 + 10x) 4 + -0.8x = (-5 * 0.7 + 10x * 0.7) 4 + -0.8x = (-3.5 + 7x) Solving 4 + -0.8x = -3.5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + -0.8x + -7x = -3.5 + 7x + -7x Combine like terms: -0.8x + -7x = -7.8x 4 + -7.8x = -3.5 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -7.8x = -3.5 + 0 4 + -7.8x = -3.5 Add '-4' to each side of the equation. 4 + -4 + -7.8x = -3.5 + -4 Combine like terms: 4 + -4 = 0 0 + -7.8x = -3.5 + -4 -7.8x = -3.5 + -4 Combine like terms: -3.5 + -4 = -7.5 -7.8x = -7.5 Divide each side by '-7.8'. x = 0.9615384615 Simplifying x = 0.9615384615
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