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Simplifying 16(x + 2) + -7 = 4(x + -6) + 17 Reorder the terms: 16(2 + x) + -7 = 4(x + -6) + 17 (2 * 16 + x * 16) + -7 = 4(x + -6) + 17 (32 + 16x) + -7 = 4(x + -6) + 17 Reorder the terms: 32 + -7 + 16x = 4(x + -6) + 17 Combine like terms: 32 + -7 = 25 25 + 16x = 4(x + -6) + 17 Reorder the terms: 25 + 16x = 4(-6 + x) + 17 25 + 16x = (-6 * 4 + x * 4) + 17 25 + 16x = (-24 + 4x) + 17 Reorder the terms: 25 + 16x = -24 + 17 + 4x Combine like terms: -24 + 17 = -7 25 + 16x = -7 + 4x Solving 25 + 16x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 25 + 16x + -4x = -7 + 4x + -4x Combine like terms: 16x + -4x = 12x 25 + 12x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 25 + 12x = -7 + 0 25 + 12x = -7 Add '-25' to each side of the equation. 25 + -25 + 12x = -7 + -25 Combine like terms: 25 + -25 = 0 0 + 12x = -7 + -25 12x = -7 + -25 Combine like terms: -7 + -25 = -32 12x = -32 Divide each side by '12'. x = -2.666666667 Simplifying x = -2.666666667
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