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Simplifying 2(x + 3) + -7 = 18 + 5(x + 2x) Reorder the terms: 2(3 + x) + -7 = 18 + 5(x + 2x) (3 * 2 + x * 2) + -7 = 18 + 5(x + 2x) (6 + 2x) + -7 = 18 + 5(x + 2x) Reorder the terms: 6 + -7 + 2x = 18 + 5(x + 2x) Combine like terms: 6 + -7 = -1 -1 + 2x = 18 + 5(x + 2x) Combine like terms: x + 2x = 3x -1 + 2x = 18 + 5(3x) Remove parenthesis around (3x) -1 + 2x = 18 + 5 * 3x Multiply 5 * 3 -1 + 2x = 18 + 15x Solving -1 + 2x = 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. -1 + 2x + -15x = 18 + 15x + -15x Combine like terms: 2x + -15x = -13x -1 + -13x = 18 + 15x + -15x Combine like terms: 15x + -15x = 0 -1 + -13x = 18 + 0 -1 + -13x = 18 Add '1' to each side of the equation. -1 + 1 + -13x = 18 + 1 Combine like terms: -1 + 1 = 0 0 + -13x = 18 + 1 -13x = 18 + 1 Combine like terms: 18 + 1 = 19 -13x = 19 Divide each side by '-13'. x = -1.461538462 Simplifying x = -1.461538462
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