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Simplifying 0.4x + -3 = 1.3(4x + -3) Reorder the terms: -3 + 0.4x = 1.3(4x + -3) Reorder the terms: -3 + 0.4x = 1.3(-3 + 4x) -3 + 0.4x = (-3 * 1.3 + 4x * 1.3) -3 + 0.4x = (-3.9 + 5.2x) Solving -3 + 0.4x = -3.9 + 5.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.2x' to each side of the equation. -3 + 0.4x + -5.2x = -3.9 + 5.2x + -5.2x Combine like terms: 0.4x + -5.2x = -4.8x -3 + -4.8x = -3.9 + 5.2x + -5.2x Combine like terms: 5.2x + -5.2x = 0.0 -3 + -4.8x = -3.9 + 0.0 -3 + -4.8x = -3.9 Add '3' to each side of the equation. -3 + 3 + -4.8x = -3.9 + 3 Combine like terms: -3 + 3 = 0 0 + -4.8x = -3.9 + 3 -4.8x = -3.9 + 3 Combine like terms: -3.9 + 3 = -0.9 -4.8x = -0.9 Divide each side by '-4.8'. x = 0.1875 Simplifying x = 0.1875
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