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Simplifying 5(x + -3) + -2(8 + 2x) = 4x + 5 Reorder the terms: 5(-3 + x) + -2(8 + 2x) = 4x + 5 (-3 * 5 + x * 5) + -2(8 + 2x) = 4x + 5 (-15 + 5x) + -2(8 + 2x) = 4x + 5 -15 + 5x + (8 * -2 + 2x * -2) = 4x + 5 -15 + 5x + (-16 + -4x) = 4x + 5 Reorder the terms: -15 + -16 + 5x + -4x = 4x + 5 Combine like terms: -15 + -16 = -31 -31 + 5x + -4x = 4x + 5 Combine like terms: 5x + -4x = 1x -31 + 1x = 4x + 5 Reorder the terms: -31 + 1x = 5 + 4x Solving -31 + 1x = 5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -31 + 1x + -4x = 5 + 4x + -4x Combine like terms: 1x + -4x = -3x -31 + -3x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -31 + -3x = 5 + 0 -31 + -3x = 5 Add '31' to each side of the equation. -31 + 31 + -3x = 5 + 31 Combine like terms: -31 + 31 = 0 0 + -3x = 5 + 31 -3x = 5 + 31 Combine like terms: 5 + 31 = 36 -3x = 36 Divide each side by '-3'. x = -12 Simplifying x = -12
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