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Simplifying 5(x + -3) + -4(x + 8) = 2x Reorder the terms: 5(-3 + x) + -4(x + 8) = 2x (-3 * 5 + x * 5) + -4(x + 8) = 2x (-15 + 5x) + -4(x + 8) = 2x Reorder the terms: -15 + 5x + -4(8 + x) = 2x -15 + 5x + (8 * -4 + x * -4) = 2x -15 + 5x + (-32 + -4x) = 2x Reorder the terms: -15 + -32 + 5x + -4x = 2x Combine like terms: -15 + -32 = -47 -47 + 5x + -4x = 2x Combine like terms: 5x + -4x = 1x -47 + 1x = 2x Solving -47 + 1x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -47 + 1x + -2x = 2x + -2x Combine like terms: 1x + -2x = -1x -47 + -1x = 2x + -2x Combine like terms: 2x + -2x = 0 -47 + -1x = 0 Add '47' to each side of the equation. -47 + 47 + -1x = 0 + 47 Combine like terms: -47 + 47 = 0 0 + -1x = 0 + 47 -1x = 0 + 47 Combine like terms: 0 + 47 = 47 -1x = 47 Divide each side by '-1'. x = -47 Simplifying x = -47
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