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Simplifying 0.16x + 0.3(x + -2) = 0.01(4x + -4) Reorder the terms: 0.16x + 0.3(-2 + x) = 0.01(4x + -4) 0.16x + (-2 * 0.3 + x * 0.3) = 0.01(4x + -4) 0.16x + (-0.6 + 0.3x) = 0.01(4x + -4) Reorder the terms: -0.6 + 0.16x + 0.3x = 0.01(4x + -4) Combine like terms: 0.16x + 0.3x = 0.46x -0.6 + 0.46x = 0.01(4x + -4) Reorder the terms: -0.6 + 0.46x = 0.01(-4 + 4x) -0.6 + 0.46x = (-4 * 0.01 + 4x * 0.01) -0.6 + 0.46x = (-0.04 + 0.04x) Solving -0.6 + 0.46x = -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. -0.6 + 0.46x + -0.04x = -0.04 + 0.04x + -0.04x Combine like terms: 0.46x + -0.04x = 0.42x -0.6 + 0.42x = -0.04 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -0.6 + 0.42x = -0.04 + 0.00 -0.6 + 0.42x = -0.04 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.42x = -0.04 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.42x = -0.04 + 0.6 0.42x = -0.04 + 0.6 Combine like terms: -0.04 + 0.6 = 0.56 0.42x = 0.56 Divide each side by '0.42'. x = 1.333333333 Simplifying x = 1.333333333
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