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Simplifying 2x + 5(x + -9) = 16 + 4(x + -12) Reorder the terms: 2x + 5(-9 + x) = 16 + 4(x + -12) 2x + (-9 * 5 + x * 5) = 16 + 4(x + -12) 2x + (-45 + 5x) = 16 + 4(x + -12) Reorder the terms: -45 + 2x + 5x = 16 + 4(x + -12) Combine like terms: 2x + 5x = 7x -45 + 7x = 16 + 4(x + -12) Reorder the terms: -45 + 7x = 16 + 4(-12 + x) -45 + 7x = 16 + (-12 * 4 + x * 4) -45 + 7x = 16 + (-48 + 4x) Combine like terms: 16 + -48 = -32 -45 + 7x = -32 + 4x Solving -45 + 7x = -32 + 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. -45 + 7x + -4x = -32 + 4x + -4x Combine like terms: 7x + -4x = 3x -45 + 3x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 -45 + 3x = -32 + 0 -45 + 3x = -32 Add '45' to each side of the equation. -45 + 45 + 3x = -32 + 45 Combine like terms: -45 + 45 = 0 0 + 3x = -32 + 45 3x = -32 + 45 Combine like terms: -32 + 45 = 13 3x = 13 Divide each side by '3'. x = 4.333333333 Simplifying x = 4.333333333
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