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Simplifying 0.13x + 0.7(x + -4) = 0.01(3x + -4) Reorder the terms: 0.13x + 0.7(-4 + x) = 0.01(3x + -4) 0.13x + (-4 * 0.7 + x * 0.7) = 0.01(3x + -4) 0.13x + (-2.8 + 0.7x) = 0.01(3x + -4) Reorder the terms: -2.8 + 0.13x + 0.7x = 0.01(3x + -4) Combine like terms: 0.13x + 0.7x = 0.83x -2.8 + 0.83x = 0.01(3x + -4) Reorder the terms: -2.8 + 0.83x = 0.01(-4 + 3x) -2.8 + 0.83x = (-4 * 0.01 + 3x * 0.01) -2.8 + 0.83x = (-0.04 + 0.03x) Solving -2.8 + 0.83x = -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. -2.8 + 0.83x + -0.03x = -0.04 + 0.03x + -0.03x Combine like terms: 0.83x + -0.03x = 0.8x -2.8 + 0.8x = -0.04 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -2.8 + 0.8x = -0.04 + 0.00 -2.8 + 0.8x = -0.04 Add '2.8' to each side of the equation. -2.8 + 2.8 + 0.8x = -0.04 + 2.8 Combine like terms: -2.8 + 2.8 = 0.0 0.0 + 0.8x = -0.04 + 2.8 0.8x = -0.04 + 2.8 Combine like terms: -0.04 + 2.8 = 2.76 0.8x = 2.76 Divide each side by '0.8'. x = 3.45 Simplifying x = 3.45
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