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Simplifying 0.14x + 0.2(x + -1) = 0.01(3x + -4) Reorder the terms: 0.14x + 0.2(-1 + x) = 0.01(3x + -4) 0.14x + (-1 * 0.2 + x * 0.2) = 0.01(3x + -4) 0.14x + (-0.2 + 0.2x) = 0.01(3x + -4) Reorder the terms: -0.2 + 0.14x + 0.2x = 0.01(3x + -4) Combine like terms: 0.14x + 0.2x = 0.34x -0.2 + 0.34x = 0.01(3x + -4) Reorder the terms: -0.2 + 0.34x = 0.01(-4 + 3x) -0.2 + 0.34x = (-4 * 0.01 + 3x * 0.01) -0.2 + 0.34x = (-0.04 + 0.03x) Solving -0.2 + 0.34x = -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. -0.2 + 0.34x + -0.03x = -0.04 + 0.03x + -0.03x Combine like terms: 0.34x + -0.03x = 0.31x -0.2 + 0.31x = -0.04 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -0.2 + 0.31x = -0.04 + 0.00 -0.2 + 0.31x = -0.04 Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.31x = -0.04 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.31x = -0.04 + 0.2 0.31x = -0.04 + 0.2 Combine like terms: -0.04 + 0.2 = 0.16 0.31x = 0.16 Divide each side by '0.31'. x = 0.5161290323 Simplifying x = 0.5161290323
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