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Simplifying 3 + (2x + 2) + 5 = 6(x + -1) + -4 Reorder the terms: 3 + (2 + 2x) + 5 = 6(x + -1) + -4 Remove parenthesis around (2 + 2x) 3 + 2 + 2x + 5 = 6(x + -1) + -4 Reorder the terms: 3 + 2 + 5 + 2x = 6(x + -1) + -4 Combine like terms: 3 + 2 = 5 5 + 5 + 2x = 6(x + -1) + -4 Combine like terms: 5 + 5 = 10 10 + 2x = 6(x + -1) + -4 Reorder the terms: 10 + 2x = 6(-1 + x) + -4 10 + 2x = (-1 * 6 + x * 6) + -4 10 + 2x = (-6 + 6x) + -4 Reorder the terms: 10 + 2x = -6 + -4 + 6x Combine like terms: -6 + -4 = -10 10 + 2x = -10 + 6x Solving 10 + 2x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + 2x + -6x = -10 + 6x + -6x Combine like terms: 2x + -6x = -4x 10 + -4x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -4x = -10 + 0 10 + -4x = -10 Add '-10' to each side of the equation. 10 + -10 + -4x = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = -10 + -10 -4x = -10 + -10 Combine like terms: -10 + -10 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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