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Simplifying 0.5(20x + 24) + -16 = -0.5(14x + -14) Reorder the terms: 0.5(24 + 20x) + -16 = -0.5(14x + -14) (24 * 0.5 + 20x * 0.5) + -16 = -0.5(14x + -14) (12 + 10x) + -16 = -0.5(14x + -14) Reorder the terms: 12 + -16 + 10x = -0.5(14x + -14) Combine like terms: 12 + -16 = -4 -4 + 10x = -0.5(14x + -14) Reorder the terms: -4 + 10x = -0.5(-14 + 14x) -4 + 10x = (-14 * -0.5 + 14x * -0.5) -4 + 10x = (7 + -7x) Solving -4 + 10x = 7 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -4 + 10x + 7x = 7 + -7x + 7x Combine like terms: 10x + 7x = 17x -4 + 17x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 -4 + 17x = 7 + 0 -4 + 17x = 7 Add '4' to each side of the equation. -4 + 4 + 17x = 7 + 4 Combine like terms: -4 + 4 = 0 0 + 17x = 7 + 4 17x = 7 + 4 Combine like terms: 7 + 4 = 11 17x = 11 Divide each side by '17'. x = 0.6470588235 Simplifying x = 0.6470588235
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