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Simplifying 5x + 2 = 4(x + -2) + 5 Reorder the terms: 2 + 5x = 4(x + -2) + 5 Reorder the terms: 2 + 5x = 4(-2 + x) + 5 2 + 5x = (-2 * 4 + x * 4) + 5 2 + 5x = (-8 + 4x) + 5 Reorder the terms: 2 + 5x = -8 + 5 + 4x Combine like terms: -8 + 5 = -3 2 + 5x = -3 + 4x Solving 2 + 5x = -3 + 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. 2 + 5x + -4x = -3 + 4x + -4x Combine like terms: 5x + -4x = 1x 2 + 1x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 1x = -3 + 0 2 + 1x = -3 Add '-2' to each side of the equation. 2 + -2 + 1x = -3 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -3 + -2 1x = -3 + -2 Combine like terms: -3 + -2 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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