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Simplifying 0.8(0.6x + 2) + -0.8(1.6x + -0.3) = x Reorder the terms: 0.8(2 + 0.6x) + -0.8(1.6x + -0.3) = x (2 * 0.8 + 0.6x * 0.8) + -0.8(1.6x + -0.3) = x (1.6 + 0.48x) + -0.8(1.6x + -0.3) = x Reorder the terms: 1.6 + 0.48x + -0.8(-0.3 + 1.6x) = x 1.6 + 0.48x + (-0.3 * -0.8 + 1.6x * -0.8) = x 1.6 + 0.48x + (0.24 + -1.28x) = x Reorder the terms: 1.6 + 0.24 + 0.48x + -1.28x = x Combine like terms: 1.6 + 0.24 = 1.84 1.84 + 0.48x + -1.28x = x Combine like terms: 0.48x + -1.28x = -0.8x 1.84 + -0.8x = x Solving 1.84 + -0.8x = 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. 1.84 + -0.8x + -1x = x + -1x Combine like terms: -0.8x + -1x = -1.8x 1.84 + -1.8x = x + -1x Combine like terms: x + -1x = 0 1.84 + -1.8x = 0 Add '-1.84' to each side of the equation. 1.84 + -1.84 + -1.8x = 0 + -1.84 Combine like terms: 1.84 + -1.84 = 0.00 0.00 + -1.8x = 0 + -1.84 -1.8x = 0 + -1.84 Combine like terms: 0 + -1.84 = -1.84 -1.8x = -1.84 Divide each side by '-1.8'. x = 1.022222222 Simplifying x = 1.022222222
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