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Simplifying 0.13x + 0.5(x + -3) = 0.01(2x + -4) Reorder the terms: 0.13x + 0.5(-3 + x) = 0.01(2x + -4) 0.13x + (-3 * 0.5 + x * 0.5) = 0.01(2x + -4) 0.13x + (-1.5 + 0.5x) = 0.01(2x + -4) Reorder the terms: -1.5 + 0.13x + 0.5x = 0.01(2x + -4) Combine like terms: 0.13x + 0.5x = 0.63x -1.5 + 0.63x = 0.01(2x + -4) Reorder the terms: -1.5 + 0.63x = 0.01(-4 + 2x) -1.5 + 0.63x = (-4 * 0.01 + 2x * 0.01) -1.5 + 0.63x = (-0.04 + 0.02x) Solving -1.5 + 0.63x = -0.04 + 0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. -1.5 + 0.63x + -0.02x = -0.04 + 0.02x + -0.02x Combine like terms: 0.63x + -0.02x = 0.61x -1.5 + 0.61x = -0.04 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -1.5 + 0.61x = -0.04 + 0.00 -1.5 + 0.61x = -0.04 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.61x = -0.04 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.61x = -0.04 + 1.5 0.61x = -0.04 + 1.5 Combine like terms: -0.04 + 1.5 = 1.46 0.61x = 1.46 Divide each side by '0.61'. x = 2.393442623 Simplifying x = 2.393442623
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