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Simplifying 0.16x + 0.4(x + -1) = 0.01(4x + -4) Reorder the terms: 0.16x + 0.4(-1 + x) = 0.01(4x + -4) 0.16x + (-1 * 0.4 + x * 0.4) = 0.01(4x + -4) 0.16x + (-0.4 + 0.4x) = 0.01(4x + -4) Reorder the terms: -0.4 + 0.16x + 0.4x = 0.01(4x + -4) Combine like terms: 0.16x + 0.4x = 0.56x -0.4 + 0.56x = 0.01(4x + -4) Reorder the terms: -0.4 + 0.56x = 0.01(-4 + 4x) -0.4 + 0.56x = (-4 * 0.01 + 4x * 0.01) -0.4 + 0.56x = (-0.04 + 0.04x) Solving -0.4 + 0.56x = -0.04 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. -0.4 + 0.56x + -0.04x = -0.04 + 0.04x + -0.04x Combine like terms: 0.56x + -0.04x = 0.52x -0.4 + 0.52x = -0.04 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -0.4 + 0.52x = -0.04 + 0.00 -0.4 + 0.52x = -0.04 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.52x = -0.04 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.52x = -0.04 + 0.4 0.52x = -0.04 + 0.4 Combine like terms: -0.04 + 0.4 = 0.36 0.52x = 0.36 Divide each side by '0.52'. x = 0.6923076923 Simplifying x = 0.6923076923
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