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Simplifying 7(4x + -3) = 94.5(2x + 10) Reorder the terms: 7(-3 + 4x) = 94.5(2x + 10) (-3 * 7 + 4x * 7) = 94.5(2x + 10) (-21 + 28x) = 94.5(2x + 10) Reorder the terms: -21 + 28x = 94.5(10 + 2x) -21 + 28x = (10 * 94.5 + 2x * 94.5) -21 + 28x = (945 + 189x) Solving -21 + 28x = 945 + 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. -21 + 28x + -189x = 945 + 189x + -189x Combine like terms: 28x + -189x = -161x -21 + -161x = 945 + 189x + -189x Combine like terms: 189x + -189x = 0 -21 + -161x = 945 + 0 -21 + -161x = 945 Add '21' to each side of the equation. -21 + 21 + -161x = 945 + 21 Combine like terms: -21 + 21 = 0 0 + -161x = 945 + 21 -161x = 945 + 21 Combine like terms: 945 + 21 = 966 -161x = 966 Divide each side by '-161'. x = -6 Simplifying x = -6
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