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Simplifying 5(x + -2) + -2(4x + 3) = x + -16 Reorder the terms: 5(-2 + x) + -2(4x + 3) = x + -16 (-2 * 5 + x * 5) + -2(4x + 3) = x + -16 (-10 + 5x) + -2(4x + 3) = x + -16 Reorder the terms: -10 + 5x + -2(3 + 4x) = x + -16 -10 + 5x + (3 * -2 + 4x * -2) = x + -16 -10 + 5x + (-6 + -8x) = x + -16 Reorder the terms: -10 + -6 + 5x + -8x = x + -16 Combine like terms: -10 + -6 = -16 -16 + 5x + -8x = x + -16 Combine like terms: 5x + -8x = -3x -16 + -3x = x + -16 Reorder the terms: -16 + -3x = -16 + x Add '16' to each side of the equation. -16 + 16 + -3x = -16 + 16 + x Combine like terms: -16 + 16 = 0 0 + -3x = -16 + 16 + x -3x = -16 + 16 + x Combine like terms: -16 + 16 = 0 -3x = 0 + x -3x = x Solving -3x = 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. -3x + -1x = x + -1x Combine like terms: -3x + -1x = -4x -4x = x + -1x Combine like terms: x + -1x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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