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Simplifying 0.14x + 0.7(x + -1) = 0.01(3x + -5) Reorder the terms: 0.14x + 0.7(-1 + x) = 0.01(3x + -5) 0.14x + (-1 * 0.7 + x * 0.7) = 0.01(3x + -5) 0.14x + (-0.7 + 0.7x) = 0.01(3x + -5) Reorder the terms: -0.7 + 0.14x + 0.7x = 0.01(3x + -5) Combine like terms: 0.14x + 0.7x = 0.84x -0.7 + 0.84x = 0.01(3x + -5) Reorder the terms: -0.7 + 0.84x = 0.01(-5 + 3x) -0.7 + 0.84x = (-5 * 0.01 + 3x * 0.01) -0.7 + 0.84x = (-0.05 + 0.03x) Solving -0.7 + 0.84x = -0.05 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. -0.7 + 0.84x + -0.03x = -0.05 + 0.03x + -0.03x Combine like terms: 0.84x + -0.03x = 0.81x -0.7 + 0.81x = -0.05 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -0.7 + 0.81x = -0.05 + 0.00 -0.7 + 0.81x = -0.05 Add '0.7' to each side of the equation. -0.7 + 0.7 + 0.81x = -0.05 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + 0.81x = -0.05 + 0.7 0.81x = -0.05 + 0.7 Combine like terms: -0.05 + 0.7 = 0.65 0.81x = 0.65 Divide each side by '0.81'. x = 0.8024691358 Simplifying x = 0.8024691358
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