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Simplifying 13 + 2(x + -16) = 9 + -4(2x + -3) Reorder the terms: 13 + 2(-16 + x) = 9 + -4(2x + -3) 13 + (-16 * 2 + x * 2) = 9 + -4(2x + -3) 13 + (-32 + 2x) = 9 + -4(2x + -3) Combine like terms: 13 + -32 = -19 -19 + 2x = 9 + -4(2x + -3) Reorder the terms: -19 + 2x = 9 + -4(-3 + 2x) -19 + 2x = 9 + (-3 * -4 + 2x * -4) -19 + 2x = 9 + (12 + -8x) Combine like terms: 9 + 12 = 21 -19 + 2x = 21 + -8x Solving -19 + 2x = 21 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -19 + 2x + 8x = 21 + -8x + 8x Combine like terms: 2x + 8x = 10x -19 + 10x = 21 + -8x + 8x Combine like terms: -8x + 8x = 0 -19 + 10x = 21 + 0 -19 + 10x = 21 Add '19' to each side of the equation. -19 + 19 + 10x = 21 + 19 Combine like terms: -19 + 19 = 0 0 + 10x = 21 + 19 10x = 21 + 19 Combine like terms: 21 + 19 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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