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Simplifying 5 + -16(-1x + 7) = 1 + 3(2 + 4x) Reorder the terms: 5 + -16(7 + -1x) = 1 + 3(2 + 4x) 5 + (7 * -16 + -1x * -16) = 1 + 3(2 + 4x) 5 + (-112 + 16x) = 1 + 3(2 + 4x) Combine like terms: 5 + -112 = -107 -107 + 16x = 1 + 3(2 + 4x) -107 + 16x = 1 + (2 * 3 + 4x * 3) -107 + 16x = 1 + (6 + 12x) Combine like terms: 1 + 6 = 7 -107 + 16x = 7 + 12x Solving -107 + 16x = 7 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -107 + 16x + -12x = 7 + 12x + -12x Combine like terms: 16x + -12x = 4x -107 + 4x = 7 + 12x + -12x Combine like terms: 12x + -12x = 0 -107 + 4x = 7 + 0 -107 + 4x = 7 Add '107' to each side of the equation. -107 + 107 + 4x = 7 + 107 Combine like terms: -107 + 107 = 0 0 + 4x = 7 + 107 4x = 7 + 107 Combine like terms: 7 + 107 = 114 4x = 114 Divide each side by '4'. x = 28.5 Simplifying x = 28.5
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