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Simplifying 0.5(9x + -16) = 4 + -1(2x + 3) Reorder the terms: 0.5(-16 + 9x) = 4 + -1(2x + 3) (-16 * 0.5 + 9x * 0.5) = 4 + -1(2x + 3) (-8 + 4.5x) = 4 + -1(2x + 3) Reorder the terms: -8 + 4.5x = 4 + -1(3 + 2x) -8 + 4.5x = 4 + (3 * -1 + 2x * -1) -8 + 4.5x = 4 + (-3 + -2x) Combine like terms: 4 + -3 = 1 -8 + 4.5x = 1 + -2x Solving -8 + 4.5x = 1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -8 + 4.5x + 2x = 1 + -2x + 2x Combine like terms: 4.5x + 2x = 6.5x -8 + 6.5x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 6.5x = 1 + 0 -8 + 6.5x = 1 Add '8' to each side of the equation. -8 + 8 + 6.5x = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 6.5x = 1 + 8 6.5x = 1 + 8 Combine like terms: 1 + 8 = 9 6.5x = 9 Divide each side by '6.5'. x = 1.384615385 Simplifying x = 1.384615385
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