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Simplifying 7(4 + -3x) = 2(8x + -9) (4 * 7 + -3x * 7) = 2(8x + -9) (28 + -21x) = 2(8x + -9) Reorder the terms: 28 + -21x = 2(-9 + 8x) 28 + -21x = (-9 * 2 + 8x * 2) 28 + -21x = (-18 + 16x) Solving 28 + -21x = -18 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 28 + -21x + -16x = -18 + 16x + -16x Combine like terms: -21x + -16x = -37x 28 + -37x = -18 + 16x + -16x Combine like terms: 16x + -16x = 0 28 + -37x = -18 + 0 28 + -37x = -18 Add '-28' to each side of the equation. 28 + -28 + -37x = -18 + -28 Combine like terms: 28 + -28 = 0 0 + -37x = -18 + -28 -37x = -18 + -28 Combine like terms: -18 + -28 = -46 -37x = -46 Divide each side by '-37'. x = 1.243243243 Simplifying x = 1.243243243
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