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Simplifying 4x + -3(x + 4) = 1 + -4(3x + -2) Reorder the terms: 4x + -3(4 + x) = 1 + -4(3x + -2) 4x + (4 * -3 + x * -3) = 1 + -4(3x + -2) 4x + (-12 + -3x) = 1 + -4(3x + -2) Reorder the terms: -12 + 4x + -3x = 1 + -4(3x + -2) Combine like terms: 4x + -3x = 1x -12 + 1x = 1 + -4(3x + -2) Reorder the terms: -12 + 1x = 1 + -4(-2 + 3x) -12 + 1x = 1 + (-2 * -4 + 3x * -4) -12 + 1x = 1 + (8 + -12x) Combine like terms: 1 + 8 = 9 -12 + 1x = 9 + -12x Solving -12 + 1x = 9 + -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. -12 + 1x + 12x = 9 + -12x + 12x Combine like terms: 1x + 12x = 13x -12 + 13x = 9 + -12x + 12x Combine like terms: -12x + 12x = 0 -12 + 13x = 9 + 0 -12 + 13x = 9 Add '12' to each side of the equation. -12 + 12 + 13x = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 13x = 9 + 12 13x = 9 + 12 Combine like terms: 9 + 12 = 21 13x = 21 Divide each side by '13'. x = 1.615384615 Simplifying x = 1.615384615
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