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Simplifying 0.75(8x + -4) + 3 = 0.4(5x + 10) + -1 Reorder the terms: 0.75(-4 + 8x) + 3 = 0.4(5x + 10) + -1 (-4 * 0.75 + 8x * 0.75) + 3 = 0.4(5x + 10) + -1 (-3 + 6x) + 3 = 0.4(5x + 10) + -1 Reorder the terms: -3 + 3 + 6x = 0.4(5x + 10) + -1 Combine like terms: -3 + 3 = 0 0 + 6x = 0.4(5x + 10) + -1 6x = 0.4(5x + 10) + -1 Reorder the terms: 6x = 0.4(10 + 5x) + -1 6x = (10 * 0.4 + 5x * 0.4) + -1 6x = (4 + 2x) + -1 Reorder the terms: 6x = 4 + -1 + 2x Combine like terms: 4 + -1 = 3 6x = 3 + 2x Solving 6x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6x + -2x = 3 + 2x + -2x Combine like terms: 6x + -2x = 4x 4x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 4x = 3 + 0 4x = 3 Divide each side by '4'. x = 0.75 Simplifying x = 0.75
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