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Simplifying 5x + -13 = 4(2x + 2) Reorder the terms: -13 + 5x = 4(2x + 2) Reorder the terms: -13 + 5x = 4(2 + 2x) -13 + 5x = (2 * 4 + 2x * 4) -13 + 5x = (8 + 8x) Solving -13 + 5x = 8 + 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 = 8 + 8x + -8x Combine like terms: 5x + -8x = -3x -13 + -3x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 -13 + -3x = 8 + 0 -13 + -3x = 8 Add '13' to each side of the equation. -13 + 13 + -3x = 8 + 13 Combine like terms: -13 + 13 = 0 0 + -3x = 8 + 13 -3x = 8 + 13 Combine like terms: 8 + 13 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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