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Simplifying 3.5x + -3(x + -8) = 0.5(7x + -4) + 5 Reorder the terms: 3.5x + -3(-8 + x) = 0.5(7x + -4) + 5 3.5x + (-8 * -3 + x * -3) = 0.5(7x + -4) + 5 3.5x + (24 + -3x) = 0.5(7x + -4) + 5 Reorder the terms: 24 + 3.5x + -3x = 0.5(7x + -4) + 5 Combine like terms: 3.5x + -3x = 0.5x 24 + 0.5x = 0.5(7x + -4) + 5 Reorder the terms: 24 + 0.5x = 0.5(-4 + 7x) + 5 24 + 0.5x = (-4 * 0.5 + 7x * 0.5) + 5 24 + 0.5x = (-2 + 3.5x) + 5 Reorder the terms: 24 + 0.5x = -2 + 5 + 3.5x Combine like terms: -2 + 5 = 3 24 + 0.5x = 3 + 3.5x Solving 24 + 0.5x = 3 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. 24 + 0.5x + -3.5x = 3 + 3.5x + -3.5x Combine like terms: 0.5x + -3.5x = -3x 24 + -3x = 3 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 24 + -3x = 3 + 0.0 24 + -3x = 3 Add '-24' to each side of the equation. 24 + -24 + -3x = 3 + -24 Combine like terms: 24 + -24 = 0 0 + -3x = 3 + -24 -3x = 3 + -24 Combine like terms: 3 + -24 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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