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Simplifying 0.50(14x + 18) + -15 = -0.2(30x + -40) Reorder the terms: 0.50(18 + 14x) + -15 = -0.2(30x + -40) (18 * 0.50 + 14x * 0.50) + -15 = -0.2(30x + -40) (9 + 7x) + -15 = -0.2(30x + -40) Reorder the terms: 9 + -15 + 7x = -0.2(30x + -40) Combine like terms: 9 + -15 = -6 -6 + 7x = -0.2(30x + -40) Reorder the terms: -6 + 7x = -0.2(-40 + 30x) -6 + 7x = (-40 * -0.2 + 30x * -0.2) -6 + 7x = (8 + -6x) Solving -6 + 7x = 8 + -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. -6 + 7x + 6x = 8 + -6x + 6x Combine like terms: 7x + 6x = 13x -6 + 13x = 8 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 13x = 8 + 0 -6 + 13x = 8 Add '6' to each side of the equation. -6 + 6 + 13x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 13x = 8 + 6 13x = 8 + 6 Combine like terms: 8 + 6 = 14 13x = 14 Divide each side by '13'. x = 1.076923077 Simplifying x = 1.076923077
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