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Simplifying 0.7(0.9x + 3) + -0.8(1.6x + -0.7) = x Reorder the terms: 0.7(3 + 0.9x) + -0.8(1.6x + -0.7) = x (3 * 0.7 + 0.9x * 0.7) + -0.8(1.6x + -0.7) = x (2.1 + 0.63x) + -0.8(1.6x + -0.7) = x Reorder the terms: 2.1 + 0.63x + -0.8(-0.7 + 1.6x) = x 2.1 + 0.63x + (-0.7 * -0.8 + 1.6x * -0.8) = x 2.1 + 0.63x + (0.56 + -1.28x) = x Reorder the terms: 2.1 + 0.56 + 0.63x + -1.28x = x Combine like terms: 2.1 + 0.56 = 2.66 2.66 + 0.63x + -1.28x = x Combine like terms: 0.63x + -1.28x = -0.65x 2.66 + -0.65x = x Solving 2.66 + -0.65x = 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. 2.66 + -0.65x + -1x = x + -1x Combine like terms: -0.65x + -1x = -1.65x 2.66 + -1.65x = x + -1x Combine like terms: x + -1x = 0 2.66 + -1.65x = 0 Add '-2.66' to each side of the equation. 2.66 + -2.66 + -1.65x = 0 + -2.66 Combine like terms: 2.66 + -2.66 = 0.00 0.00 + -1.65x = 0 + -2.66 -1.65x = 0 + -2.66 Combine like terms: 0 + -2.66 = -2.66 -1.65x = -2.66 Divide each side by '-1.65'. x = 1.612121212 Simplifying x = 1.612121212
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