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Simplifying 5(2x + -4) + -3(4 + -2x) = x + 13 Reorder the terms: 5(-4 + 2x) + -3(4 + -2x) = x + 13 (-4 * 5 + 2x * 5) + -3(4 + -2x) = x + 13 (-20 + 10x) + -3(4 + -2x) = x + 13 -20 + 10x + (4 * -3 + -2x * -3) = x + 13 -20 + 10x + (-12 + 6x) = x + 13 Reorder the terms: -20 + -12 + 10x + 6x = x + 13 Combine like terms: -20 + -12 = -32 -32 + 10x + 6x = x + 13 Combine like terms: 10x + 6x = 16x -32 + 16x = x + 13 Reorder the terms: -32 + 16x = 13 + x Solving -32 + 16x = 13 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -32 + 16x + -1x = 13 + x + -1x Combine like terms: 16x + -1x = 15x -32 + 15x = 13 + x + -1x Combine like terms: x + -1x = 0 -32 + 15x = 13 + 0 -32 + 15x = 13 Add '32' to each side of the equation. -32 + 32 + 15x = 13 + 32 Combine like terms: -32 + 32 = 0 0 + 15x = 13 + 32 15x = 13 + 32 Combine like terms: 13 + 32 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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