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Simplifying 2(2x + 3) + -7x = 1 + 5(x + 2x) Reorder the terms: 2(3 + 2x) + -7x = 1 + 5(x + 2x) (3 * 2 + 2x * 2) + -7x = 1 + 5(x + 2x) (6 + 4x) + -7x = 1 + 5(x + 2x) Combine like terms: 4x + -7x = -3x 6 + -3x = 1 + 5(x + 2x) Combine like terms: x + 2x = 3x 6 + -3x = 1 + 5(3x) Remove parenthesis around (3x) 6 + -3x = 1 + 5 * 3x Multiply 5 * 3 6 + -3x = 1 + 15x Solving 6 + -3x = 1 + 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 = 1 + 15x + -15x Combine like terms: -3x + -15x = -18x 6 + -18x = 1 + 15x + -15x Combine like terms: 15x + -15x = 0 6 + -18x = 1 + 0 6 + -18x = 1 Add '-6' to each side of the equation. 6 + -6 + -18x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + -18x = 1 + -6 -18x = 1 + -6 Combine like terms: 1 + -6 = -5 -18x = -5 Divide each side by '-18'. x = 0.2777777778 Simplifying x = 0.2777777778
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