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Simplifying 5(x + 2) + 3 = 4(x + -2) Reorder the terms: 5(2 + x) + 3 = 4(x + -2) (2 * 5 + x * 5) + 3 = 4(x + -2) (10 + 5x) + 3 = 4(x + -2) Reorder the terms: 10 + 3 + 5x = 4(x + -2) Combine like terms: 10 + 3 = 13 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 = -21 1x = -21 Divide each side by '1'. x = -21 Simplifying x = -21
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