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Simplifying 4(x + -3) = 6 + -1(x + 4) + 1 Reorder the terms: 4(-3 + x) = 6 + -1(x + 4) + 1 (-3 * 4 + x * 4) = 6 + -1(x + 4) + 1 (-12 + 4x) = 6 + -1(x + 4) + 1 Reorder the terms: -12 + 4x = 6 + -1(4 + x) + 1 -12 + 4x = 6 + (4 * -1 + x * -1) + 1 -12 + 4x = 6 + (-4 + -1x) + 1 Reorder the terms: -12 + 4x = 6 + -4 + 1 + -1x Combine like terms: 6 + -4 = 2 -12 + 4x = 2 + 1 + -1x Combine like terms: 2 + 1 = 3 -12 + 4x = 3 + -1x Solving -12 + 4x = 3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -12 + 4x + x = 3 + -1x + x Combine like terms: 4x + x = 5x -12 + 5x = 3 + -1x + x Combine like terms: -1x + x = 0 -12 + 5x = 3 + 0 -12 + 5x = 3 Add '12' to each side of the equation. -12 + 12 + 5x = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 3 + 12 5x = 3 + 12 Combine like terms: 3 + 12 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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