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Simplifying 2(2x + 3) + -7x = 18 + 4(x + 2x) Reorder the terms: 2(3 + 2x) + -7x = 18 + 4(x + 2x) (3 * 2 + 2x * 2) + -7x = 18 + 4(x + 2x) (6 + 4x) + -7x = 18 + 4(x + 2x) Combine like terms: 4x + -7x = -3x 6 + -3x = 18 + 4(x + 2x) Combine like terms: x + 2x = 3x 6 + -3x = 18 + 4(3x) Remove parenthesis around (3x) 6 + -3x = 18 + 4 * 3x Multiply 4 * 3 6 + -3x = 18 + 12x Solving 6 + -3x = 18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 6 + -3x + -12x = 18 + 12x + -12x Combine like terms: -3x + -12x = -15x 6 + -15x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -15x = 18 + 0 6 + -15x = 18 Add '-6' to each side of the equation. 6 + -6 + -15x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + -15x = 18 + -6 -15x = 18 + -6 Combine like terms: 18 + -6 = 12 -15x = 12 Divide each side by '-15'. x = -0.8 Simplifying x = -0.8
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