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Simplifying 4[x + 4(3 + -1x)] = 3x + 1 4[x + (3 * 4 + -1x * 4)] = 3x + 1 4[x + (12 + -4x)] = 3x + 1 Reorder the terms: 4[12 + x + -4x] = 3x + 1 Combine like terms: x + -4x = -3x 4[12 + -3x] = 3x + 1 [12 * 4 + -3x * 4] = 3x + 1 [48 + -12x] = 3x + 1 Reorder the terms: 48 + -12x = 1 + 3x Solving 48 + -12x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 48 + -12x + -3x = 1 + 3x + -3x Combine like terms: -12x + -3x = -15x 48 + -15x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 48 + -15x = 1 + 0 48 + -15x = 1 Add '-48' to each side of the equation. 48 + -48 + -15x = 1 + -48 Combine like terms: 48 + -48 = 0 0 + -15x = 1 + -48 -15x = 1 + -48 Combine like terms: 1 + -48 = -47 -15x = -47 Divide each side by '-15'. x = 3.133333333 Simplifying x = 3.133333333
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