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Simplifying 5x + -13 = 4(2x + -5) Reorder the terms: -13 + 5x = 4(2x + -5) Reorder the terms: -13 + 5x = 4(-5 + 2x) -13 + 5x = (-5 * 4 + 2x * 4) -13 + 5x = (-20 + 8x) Solving -13 + 5x = -20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -13 + 5x + -8x = -20 + 8x + -8x Combine like terms: 5x + -8x = -3x -13 + -3x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 -13 + -3x = -20 + 0 -13 + -3x = -20 Add '13' to each side of the equation. -13 + 13 + -3x = -20 + 13 Combine like terms: -13 + 13 = 0 0 + -3x = -20 + 13 -3x = -20 + 13 Combine like terms: -20 + 13 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333
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