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Simplifying 7(4x + 6) = 7(-8x + -3) Reorder the terms: 7(6 + 4x) = 7(-8x + -3) (6 * 7 + 4x * 7) = 7(-8x + -3) (42 + 28x) = 7(-8x + -3) Reorder the terms: 42 + 28x = 7(-3 + -8x) 42 + 28x = (-3 * 7 + -8x * 7) 42 + 28x = (-21 + -56x) Solving 42 + 28x = -21 + -56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56x' to each side of the equation. 42 + 28x + 56x = -21 + -56x + 56x Combine like terms: 28x + 56x = 84x 42 + 84x = -21 + -56x + 56x Combine like terms: -56x + 56x = 0 42 + 84x = -21 + 0 42 + 84x = -21 Add '-42' to each side of the equation. 42 + -42 + 84x = -21 + -42 Combine like terms: 42 + -42 = 0 0 + 84x = -21 + -42 84x = -21 + -42 Combine like terms: -21 + -42 = -63 84x = -63 Divide each side by '84'. x = -0.75 Simplifying x = -0.75
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