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Simplifying 4(x + -3) + -1(2x + 1) = x + 3 + -3x Reorder the terms: 4(-3 + x) + -1(2x + 1) = x + 3 + -3x (-3 * 4 + x * 4) + -1(2x + 1) = x + 3 + -3x (-12 + 4x) + -1(2x + 1) = x + 3 + -3x Reorder the terms: -12 + 4x + -1(1 + 2x) = x + 3 + -3x -12 + 4x + (1 * -1 + 2x * -1) = x + 3 + -3x -12 + 4x + (-1 + -2x) = x + 3 + -3x Reorder the terms: -12 + -1 + 4x + -2x = x + 3 + -3x Combine like terms: -12 + -1 = -13 -13 + 4x + -2x = x + 3 + -3x Combine like terms: 4x + -2x = 2x -13 + 2x = x + 3 + -3x Reorder the terms: -13 + 2x = 3 + x + -3x Combine like terms: x + -3x = -2x -13 + 2x = 3 + -2x Solving -13 + 2x = 3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -13 + 2x + 2x = 3 + -2x + 2x Combine like terms: 2x + 2x = 4x -13 + 4x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 -13 + 4x = 3 + 0 -13 + 4x = 3 Add '13' to each side of the equation. -13 + 13 + 4x = 3 + 13 Combine like terms: -13 + 13 = 0 0 + 4x = 3 + 13 4x = 3 + 13 Combine like terms: 3 + 13 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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