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Simplifying 16 = 8(3x + -1) + 5(6x + -6) Reorder the terms: 16 = 8(-1 + 3x) + 5(6x + -6) 16 = (-1 * 8 + 3x * 8) + 5(6x + -6) 16 = (-8 + 24x) + 5(6x + -6) Reorder the terms: 16 = -8 + 24x + 5(-6 + 6x) 16 = -8 + 24x + (-6 * 5 + 6x * 5) 16 = -8 + 24x + (-30 + 30x) Reorder the terms: 16 = -8 + -30 + 24x + 30x Combine like terms: -8 + -30 = -38 16 = -38 + 24x + 30x Combine like terms: 24x + 30x = 54x 16 = -38 + 54x Solving 16 = -38 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. 16 + -54x = -38 + 54x + -54x Combine like terms: 54x + -54x = 0 16 + -54x = -38 + 0 16 + -54x = -38 Add '-16' to each side of the equation. 16 + -16 + -54x = -38 + -16 Combine like terms: 16 + -16 = 0 0 + -54x = -38 + -16 -54x = -38 + -16 Combine like terms: -38 + -16 = -54 -54x = -54 Divide each side by '-54'. x = 1 Simplifying x = 1
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