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Simplifying 7(4 + -3x) = -8(2x + 1) (4 * 7 + -3x * 7) = -8(2x + 1) (28 + -21x) = -8(2x + 1) Reorder the terms: 28 + -21x = -8(1 + 2x) 28 + -21x = (1 * -8 + 2x * -8) 28 + -21x = (-8 + -16x) Solving 28 + -21x = -8 + -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 = -8 + -16x + 16x Combine like terms: -21x + 16x = -5x 28 + -5x = -8 + -16x + 16x Combine like terms: -16x + 16x = 0 28 + -5x = -8 + 0 28 + -5x = -8 Add '-28' to each side of the equation. 28 + -28 + -5x = -8 + -28 Combine like terms: 28 + -28 = 0 0 + -5x = -8 + -28 -5x = -8 + -28 Combine like terms: -8 + -28 = -36 -5x = -36 Divide each side by '-5'. x = 7.2 Simplifying x = 7.2
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