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Simplifying 4x + 2(3x + 9) = 6x + -3(5x + 7) Reorder the terms: 4x + 2(9 + 3x) = 6x + -3(5x + 7) 4x + (9 * 2 + 3x * 2) = 6x + -3(5x + 7) 4x + (18 + 6x) = 6x + -3(5x + 7) Reorder the terms: 18 + 4x + 6x = 6x + -3(5x + 7) Combine like terms: 4x + 6x = 10x 18 + 10x = 6x + -3(5x + 7) Reorder the terms: 18 + 10x = 6x + -3(7 + 5x) 18 + 10x = 6x + (7 * -3 + 5x * -3) 18 + 10x = 6x + (-21 + -15x) Reorder the terms: 18 + 10x = -21 + 6x + -15x Combine like terms: 6x + -15x = -9x 18 + 10x = -21 + -9x Solving 18 + 10x = -21 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 18 + 10x + 9x = -21 + -9x + 9x Combine like terms: 10x + 9x = 19x 18 + 19x = -21 + -9x + 9x Combine like terms: -9x + 9x = 0 18 + 19x = -21 + 0 18 + 19x = -21 Add '-18' to each side of the equation. 18 + -18 + 19x = -21 + -18 Combine like terms: 18 + -18 = 0 0 + 19x = -21 + -18 19x = -21 + -18 Combine like terms: -21 + -18 = -39 19x = -39 Divide each side by '19'. x = -2.052631579 Simplifying x = -2.052631579
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