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Simplifying 6(40x + -16) = 21(-27 + 9x) Reorder the terms: 6(-16 + 40x) = 21(-27 + 9x) (-16 * 6 + 40x * 6) = 21(-27 + 9x) (-96 + 240x) = 21(-27 + 9x) -96 + 240x = (-27 * 21 + 9x * 21) -96 + 240x = (-567 + 189x) Solving -96 + 240x = -567 + 189x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-189x' to each side of the equation. -96 + 240x + -189x = -567 + 189x + -189x Combine like terms: 240x + -189x = 51x -96 + 51x = -567 + 189x + -189x Combine like terms: 189x + -189x = 0 -96 + 51x = -567 + 0 -96 + 51x = -567 Add '96' to each side of the equation. -96 + 96 + 51x = -567 + 96 Combine like terms: -96 + 96 = 0 0 + 51x = -567 + 96 51x = -567 + 96 Combine like terms: -567 + 96 = -471 51x = -471 Divide each side by '51'. x = -9.235294118 Simplifying x = -9.235294118
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