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Simplifying 3x + -2(2x + -9) = 3(2x + -9) + 7 Reorder the terms: 3x + -2(-9 + 2x) = 3(2x + -9) + 7 3x + (-9 * -2 + 2x * -2) = 3(2x + -9) + 7 3x + (18 + -4x) = 3(2x + -9) + 7 Reorder the terms: 18 + 3x + -4x = 3(2x + -9) + 7 Combine like terms: 3x + -4x = -1x 18 + -1x = 3(2x + -9) + 7 Reorder the terms: 18 + -1x = 3(-9 + 2x) + 7 18 + -1x = (-9 * 3 + 2x * 3) + 7 18 + -1x = (-27 + 6x) + 7 Reorder the terms: 18 + -1x = -27 + 7 + 6x Combine like terms: -27 + 7 = -20 18 + -1x = -20 + 6x Solving 18 + -1x = -20 + 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. 18 + -1x + -6x = -20 + 6x + -6x Combine like terms: -1x + -6x = -7x 18 + -7x = -20 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + -7x = -20 + 0 18 + -7x = -20 Add '-18' to each side of the equation. 18 + -18 + -7x = -20 + -18 Combine like terms: 18 + -18 = 0 0 + -7x = -20 + -18 -7x = -20 + -18 Combine like terms: -20 + -18 = -38 -7x = -38 Divide each side by '-7'. x = 5.428571429 Simplifying x = 5.428571429
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