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Simplifying 0.14x + 0.9(x + -2) = 0.01(4x + -2) Reorder the terms: 0.14x + 0.9(-2 + x) = 0.01(4x + -2) 0.14x + (-2 * 0.9 + x * 0.9) = 0.01(4x + -2) 0.14x + (-1.8 + 0.9x) = 0.01(4x + -2) Reorder the terms: -1.8 + 0.14x + 0.9x = 0.01(4x + -2) Combine like terms: 0.14x + 0.9x = 1.04x -1.8 + 1.04x = 0.01(4x + -2) Reorder the terms: -1.8 + 1.04x = 0.01(-2 + 4x) -1.8 + 1.04x = (-2 * 0.01 + 4x * 0.01) -1.8 + 1.04x = (-0.02 + 0.04x) Solving -1.8 + 1.04x = -0.02 + 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. -1.8 + 1.04x + -0.04x = -0.02 + 0.04x + -0.04x Combine like terms: 1.04x + -0.04x = 1x -1.8 + 1x = -0.02 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -1.8 + 1x = -0.02 + 0.00 -1.8 + 1x = -0.02 Add '1.8' to each side of the equation. -1.8 + 1.8 + 1x = -0.02 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 1x = -0.02 + 1.8 1x = -0.02 + 1.8 Combine like terms: -0.02 + 1.8 = 1.78 1x = 1.78 Divide each side by '1'. x = 1.78 Simplifying x = 1.78
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