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Simplifying 4x + (2x + 5) = 5x + -3(x + 1) Reorder the terms: 4x + (5 + 2x) = 5x + -3(x + 1) Remove parenthesis around (5 + 2x) 4x + 5 + 2x = 5x + -3(x + 1) Reorder the terms: 5 + 4x + 2x = 5x + -3(x + 1) Combine like terms: 4x + 2x = 6x 5 + 6x = 5x + -3(x + 1) Reorder the terms: 5 + 6x = 5x + -3(1 + x) 5 + 6x = 5x + (1 * -3 + x * -3) 5 + 6x = 5x + (-3 + -3x) Reorder the terms: 5 + 6x = -3 + 5x + -3x Combine like terms: 5x + -3x = 2x 5 + 6x = -3 + 2x Solving 5 + 6x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 6x + -2x = -3 + 2x + -2x Combine like terms: 6x + -2x = 4x 5 + 4x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 4x = -3 + 0 5 + 4x = -3 Add '-5' to each side of the equation. 5 + -5 + 4x = -3 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = -3 + -5 4x = -3 + -5 Combine like terms: -3 + -5 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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