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Simplifying 2(2x + -3) + -7x = 18 + 5(x + 2x) Reorder the terms: 2(-3 + 2x) + -7x = 18 + 5(x + 2x) (-3 * 2 + 2x * 2) + -7x = 18 + 5(x + 2x) (-6 + 4x) + -7x = 18 + 5(x + 2x) Combine like terms: 4x + -7x = -3x -6 + -3x = 18 + 5(x + 2x) Combine like terms: x + 2x = 3x -6 + -3x = 18 + 5(3x) Remove parenthesis around (3x) -6 + -3x = 18 + 5 * 3x Multiply 5 * 3 -6 + -3x = 18 + 15x Solving -6 + -3x = 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 + -3x + -15x = 18 + 15x + -15x Combine like terms: -3x + -15x = -18x -6 + -18x = 18 + 15x + -15x Combine like terms: 15x + -15x = 0 -6 + -18x = 18 + 0 -6 + -18x = 18 Add '6' to each side of the equation. -6 + 6 + -18x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -18x = 18 + 6 -18x = 18 + 6 Combine like terms: 18 + 6 = 24 -18x = 24 Divide each side by '-18'. x = -1.333333333 Simplifying x = -1.333333333
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