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Simplifying 7x + 3 + 2x = 2x + -2(4x + -9) Reorder the terms: 3 + 7x + 2x = 2x + -2(4x + -9) Combine like terms: 7x + 2x = 9x 3 + 9x = 2x + -2(4x + -9) Reorder the terms: 3 + 9x = 2x + -2(-9 + 4x) 3 + 9x = 2x + (-9 * -2 + 4x * -2) 3 + 9x = 2x + (18 + -8x) Reorder the terms: 3 + 9x = 18 + 2x + -8x Combine like terms: 2x + -8x = -6x 3 + 9x = 18 + -6x Solving 3 + 9x = 18 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 3 + 9x + 6x = 18 + -6x + 6x Combine like terms: 9x + 6x = 15x 3 + 15x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 3 + 15x = 18 + 0 3 + 15x = 18 Add '-3' to each side of the equation. 3 + -3 + 15x = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 15x = 18 + -3 15x = 18 + -3 Combine like terms: 18 + -3 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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