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