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Simplifying 5x + -13 = 4(x + -2) Reorder the terms: -13 + 5x = 4(x + -2) Reorder the terms: -13 + 5x = 4(-2 + x) -13 + 5x = (-2 * 4 + x * 4) -13 + 5x = (-8 + 4x) Solving -13 + 5x = -8 + 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. -13 + 5x + -4x = -8 + 4x + -4x Combine like terms: 5x + -4x = 1x -13 + 1x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + 1x = -8 + 0 -13 + 1x = -8 Add '13' to each side of the equation. -13 + 13 + 1x = -8 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = -8 + 13 1x = -8 + 13 Combine like terms: -8 + 13 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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