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Simplifying 8(2x + 6 + -4x) = 7(8x + 3 + -5) Reorder the terms: 8(6 + 2x + -4x) = 7(8x + 3 + -5) Combine like terms: 2x + -4x = -2x 8(6 + -2x) = 7(8x + 3 + -5) (6 * 8 + -2x * 8) = 7(8x + 3 + -5) (48 + -16x) = 7(8x + 3 + -5) Reorder the terms: 48 + -16x = 7(3 + -5 + 8x) Combine like terms: 3 + -5 = -2 48 + -16x = 7(-2 + 8x) 48 + -16x = (-2 * 7 + 8x * 7) 48 + -16x = (-14 + 56x) Solving 48 + -16x = -14 + 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. 48 + -16x + -56x = -14 + 56x + -56x Combine like terms: -16x + -56x = -72x 48 + -72x = -14 + 56x + -56x Combine like terms: 56x + -56x = 0 48 + -72x = -14 + 0 48 + -72x = -14 Add '-48' to each side of the equation. 48 + -48 + -72x = -14 + -48 Combine like terms: 48 + -48 = 0 0 + -72x = -14 + -48 -72x = -14 + -48 Combine like terms: -14 + -48 = -62 -72x = -62 Divide each side by '-72'. x = 0.8611111111 Simplifying x = 0.8611111111
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