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Simplifying 8(40 + -3x) = 5(6x + 7) (40 * 8 + -3x * 8) = 5(6x + 7) (320 + -24x) = 5(6x + 7) Reorder the terms: 320 + -24x = 5(7 + 6x) 320 + -24x = (7 * 5 + 6x * 5) 320 + -24x = (35 + 30x) Solving 320 + -24x = 35 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 320 + -24x + -30x = 35 + 30x + -30x Combine like terms: -24x + -30x = -54x 320 + -54x = 35 + 30x + -30x Combine like terms: 30x + -30x = 0 320 + -54x = 35 + 0 320 + -54x = 35 Add '-320' to each side of the equation. 320 + -320 + -54x = 35 + -320 Combine like terms: 320 + -320 = 0 0 + -54x = 35 + -320 -54x = 35 + -320 Combine like terms: 35 + -320 = -285 -54x = -285 Divide each side by '-54'. x = 5.277777778 Simplifying x = 5.277777778
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