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Simplifying 2(2x + -4) + -3(2x + 8) = 9 + -4(x + 10) Reorder the terms: 2(-4 + 2x) + -3(2x + 8) = 9 + -4(x + 10) (-4 * 2 + 2x * 2) + -3(2x + 8) = 9 + -4(x + 10) (-8 + 4x) + -3(2x + 8) = 9 + -4(x + 10) Reorder the terms: -8 + 4x + -3(8 + 2x) = 9 + -4(x + 10) -8 + 4x + (8 * -3 + 2x * -3) = 9 + -4(x + 10) -8 + 4x + (-24 + -6x) = 9 + -4(x + 10) Reorder the terms: -8 + -24 + 4x + -6x = 9 + -4(x + 10) Combine like terms: -8 + -24 = -32 -32 + 4x + -6x = 9 + -4(x + 10) Combine like terms: 4x + -6x = -2x -32 + -2x = 9 + -4(x + 10) Reorder the terms: -32 + -2x = 9 + -4(10 + x) -32 + -2x = 9 + (10 * -4 + x * -4) -32 + -2x = 9 + (-40 + -4x) Combine like terms: 9 + -40 = -31 -32 + -2x = -31 + -4x Solving -32 + -2x = -31 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -32 + -2x + 4x = -31 + -4x + 4x Combine like terms: -2x + 4x = 2x -32 + 2x = -31 + -4x + 4x Combine like terms: -4x + 4x = 0 -32 + 2x = -31 + 0 -32 + 2x = -31 Add '32' to each side of the equation. -32 + 32 + 2x = -31 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = -31 + 32 2x = -31 + 32 Combine like terms: -31 + 32 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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