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Simplifying 0.13 + 0.7(x + -2) = 0.01(3x + -4) Reorder the terms: 0.13 + 0.7(-2 + x) = 0.01(3x + -4) 0.13 + (-2 * 0.7 + x * 0.7) = 0.01(3x + -4) 0.13 + (-1.4 + 0.7x) = 0.01(3x + -4) Combine like terms: 0.13 + -1.4 = -1.27 -1.27 + 0.7x = 0.01(3x + -4) Reorder the terms: -1.27 + 0.7x = 0.01(-4 + 3x) -1.27 + 0.7x = (-4 * 0.01 + 3x * 0.01) -1.27 + 0.7x = (-0.04 + 0.03x) Solving -1.27 + 0.7x = -0.04 + 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. -1.27 + 0.7x + -0.03x = -0.04 + 0.03x + -0.03x Combine like terms: 0.7x + -0.03x = 0.67x -1.27 + 0.67x = -0.04 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -1.27 + 0.67x = -0.04 + 0.00 -1.27 + 0.67x = -0.04 Add '1.27' to each side of the equation. -1.27 + 1.27 + 0.67x = -0.04 + 1.27 Combine like terms: -1.27 + 1.27 = 0.00 0.00 + 0.67x = -0.04 + 1.27 0.67x = -0.04 + 1.27 Combine like terms: -0.04 + 1.27 = 1.23 0.67x = 1.23 Divide each side by '0.67'. x = 1.835820896 Simplifying x = 1.835820896
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