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Simplifying 0.6(12x + 24) + -12 = -0.4(15x + -40) Reorder the terms: 0.6(24 + 12x) + -12 = -0.4(15x + -40) (24 * 0.6 + 12x * 0.6) + -12 = -0.4(15x + -40) (14.4 + 7.2x) + -12 = -0.4(15x + -40) Reorder the terms: 14.4 + -12 + 7.2x = -0.4(15x + -40) Combine like terms: 14.4 + -12 = 2.4 2.4 + 7.2x = -0.4(15x + -40) Reorder the terms: 2.4 + 7.2x = -0.4(-40 + 15x) 2.4 + 7.2x = (-40 * -0.4 + 15x * -0.4) 2.4 + 7.2x = (16 + -6x) Solving 2.4 + 7.2x = 16 + -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. 2.4 + 7.2x + 6x = 16 + -6x + 6x Combine like terms: 7.2x + 6x = 13.2x 2.4 + 13.2x = 16 + -6x + 6x Combine like terms: -6x + 6x = 0 2.4 + 13.2x = 16 + 0 2.4 + 13.2x = 16 Add '-2.4' to each side of the equation. 2.4 + -2.4 + 13.2x = 16 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 13.2x = 16 + -2.4 13.2x = 16 + -2.4 Combine like terms: 16 + -2.4 = 13.6 13.2x = 13.6 Divide each side by '13.2'. x = 1.03030303 Simplifying x = 1.03030303
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