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Simplifying 0.4x + -3 = 1.5(4x + -3) Reorder the terms: -3 + 0.4x = 1.5(4x + -3) Reorder the terms: -3 + 0.4x = 1.5(-3 + 4x) -3 + 0.4x = (-3 * 1.5 + 4x * 1.5) -3 + 0.4x = (-4.5 + 6x) Solving -3 + 0.4x = -4.5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + 0.4x + -6x = -4.5 + 6x + -6x Combine like terms: 0.4x + -6x = -5.6x -3 + -5.6x = -4.5 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -5.6x = -4.5 + 0 -3 + -5.6x = -4.5 Add '3' to each side of the equation. -3 + 3 + -5.6x = -4.5 + 3 Combine like terms: -3 + 3 = 0 0 + -5.6x = -4.5 + 3 -5.6x = -4.5 + 3 Combine like terms: -4.5 + 3 = -1.5 -5.6x = -1.5 Divide each side by '-5.6'. x = 0.2678571429 Simplifying x = 0.2678571429
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