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Simplifying (5x + 2) + (8x + 4) = 15x + -18 Reorder the terms: (2 + 5x) + (8x + 4) = 15x + -18 Remove parenthesis around (2 + 5x) 2 + 5x + (8x + 4) = 15x + -18 Reorder the terms: 2 + 5x + (4 + 8x) = 15x + -18 Remove parenthesis around (4 + 8x) 2 + 5x + 4 + 8x = 15x + -18 Reorder the terms: 2 + 4 + 5x + 8x = 15x + -18 Combine like terms: 2 + 4 = 6 6 + 5x + 8x = 15x + -18 Combine like terms: 5x + 8x = 13x 6 + 13x = 15x + -18 Reorder the terms: 6 + 13x = -18 + 15x Solving 6 + 13x = -18 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 6 + 13x + -15x = -18 + 15x + -15x Combine like terms: 13x + -15x = -2x 6 + -2x = -18 + 15x + -15x Combine like terms: 15x + -15x = 0 6 + -2x = -18 + 0 6 + -2x = -18 Add '-6' to each side of the equation. 6 + -6 + -2x = -18 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -18 + -6 -2x = -18 + -6 Combine like terms: -18 + -6 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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