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Simplifying 0.14 + 0.7(x + -1) = 0.01(2x + -4) Reorder the terms: 0.14 + 0.7(-1 + x) = 0.01(2x + -4) 0.14 + (-1 * 0.7 + x * 0.7) = 0.01(2x + -4) 0.14 + (-0.7 + 0.7x) = 0.01(2x + -4) Combine like terms: 0.14 + -0.7 = -0.56 -0.56 + 0.7x = 0.01(2x + -4) Reorder the terms: -0.56 + 0.7x = 0.01(-4 + 2x) -0.56 + 0.7x = (-4 * 0.01 + 2x * 0.01) -0.56 + 0.7x = (-0.04 + 0.02x) Solving -0.56 + 0.7x = -0.04 + 0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. -0.56 + 0.7x + -0.02x = -0.04 + 0.02x + -0.02x Combine like terms: 0.7x + -0.02x = 0.68x -0.56 + 0.68x = -0.04 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -0.56 + 0.68x = -0.04 + 0.00 -0.56 + 0.68x = -0.04 Add '0.56' to each side of the equation. -0.56 + 0.56 + 0.68x = -0.04 + 0.56 Combine like terms: -0.56 + 0.56 = 0.00 0.00 + 0.68x = -0.04 + 0.56 0.68x = -0.04 + 0.56 Combine like terms: -0.04 + 0.56 = 0.52 0.68x = 0.52 Divide each side by '0.68'. x = 0.7647058824 Simplifying x = 0.7647058824
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