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Simplifying 7(10 + -3x) = 4(15 + -4x) (10 * 7 + -3x * 7) = 4(15 + -4x) (70 + -21x) = 4(15 + -4x) 70 + -21x = (15 * 4 + -4x * 4) 70 + -21x = (60 + -16x) Solving 70 + -21x = 60 + -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. 70 + -21x + 16x = 60 + -16x + 16x Combine like terms: -21x + 16x = -5x 70 + -5x = 60 + -16x + 16x Combine like terms: -16x + 16x = 0 70 + -5x = 60 + 0 70 + -5x = 60 Add '-70' to each side of the equation. 70 + -70 + -5x = 60 + -70 Combine like terms: 70 + -70 = 0 0 + -5x = 60 + -70 -5x = 60 + -70 Combine like terms: 60 + -70 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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