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Simplifying 4(2x + 13) + -3(x + -4) = 2 Reorder the terms: 4(13 + 2x) + -3(x + -4) = 2 (13 * 4 + 2x * 4) + -3(x + -4) = 2 (52 + 8x) + -3(x + -4) = 2 Reorder the terms: 52 + 8x + -3(-4 + x) = 2 52 + 8x + (-4 * -3 + x * -3) = 2 52 + 8x + (12 + -3x) = 2 Reorder the terms: 52 + 12 + 8x + -3x = 2 Combine like terms: 52 + 12 = 64 64 + 8x + -3x = 2 Combine like terms: 8x + -3x = 5x 64 + 5x = 2 Solving 64 + 5x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 5x = 2 + -64 Combine like terms: 64 + -64 = 0 0 + 5x = 2 + -64 5x = 2 + -64 Combine like terms: 2 + -64 = -62 5x = -62 Divide each side by '5'. x = -12.4 Simplifying x = -12.4
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