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Simplifying 8x + -5 = 2(5.2x + -4) + -3(2x + -2) Reorder the terms: -5 + 8x = 2(5.2x + -4) + -3(2x + -2) Reorder the terms: -5 + 8x = 2(-4 + 5.2x) + -3(2x + -2) -5 + 8x = (-4 * 2 + 5.2x * 2) + -3(2x + -2) -5 + 8x = (-8 + 10.4x) + -3(2x + -2) Reorder the terms: -5 + 8x = -8 + 10.4x + -3(-2 + 2x) -5 + 8x = -8 + 10.4x + (-2 * -3 + 2x * -3) -5 + 8x = -8 + 10.4x + (6 + -6x) Reorder the terms: -5 + 8x = -8 + 6 + 10.4x + -6x Combine like terms: -8 + 6 = -2 -5 + 8x = -2 + 10.4x + -6x Combine like terms: 10.4x + -6x = 4.4x -5 + 8x = -2 + 4.4x Solving -5 + 8x = -2 + 4.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.4x' to each side of the equation. -5 + 8x + -4.4x = -2 + 4.4x + -4.4x Combine like terms: 8x + -4.4x = 3.6x -5 + 3.6x = -2 + 4.4x + -4.4x Combine like terms: 4.4x + -4.4x = 0.0 -5 + 3.6x = -2 + 0.0 -5 + 3.6x = -2 Add '5' to each side of the equation. -5 + 5 + 3.6x = -2 + 5 Combine like terms: -5 + 5 = 0 0 + 3.6x = -2 + 5 3.6x = -2 + 5 Combine like terms: -2 + 5 = 3 3.6x = 3 Divide each side by '3.6'. x = 0.8333333333 Simplifying x = 0.8333333333
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