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Simplifying 4(x + -3) + -3(4 + -1x) = 2(2x + 7) + 1 Reorder the terms: 4(-3 + x) + -3(4 + -1x) = 2(2x + 7) + 1 (-3 * 4 + x * 4) + -3(4 + -1x) = 2(2x + 7) + 1 (-12 + 4x) + -3(4 + -1x) = 2(2x + 7) + 1 -12 + 4x + (4 * -3 + -1x * -3) = 2(2x + 7) + 1 -12 + 4x + (-12 + 3x) = 2(2x + 7) + 1 Reorder the terms: -12 + -12 + 4x + 3x = 2(2x + 7) + 1 Combine like terms: -12 + -12 = -24 -24 + 4x + 3x = 2(2x + 7) + 1 Combine like terms: 4x + 3x = 7x -24 + 7x = 2(2x + 7) + 1 Reorder the terms: -24 + 7x = 2(7 + 2x) + 1 -24 + 7x = (7 * 2 + 2x * 2) + 1 -24 + 7x = (14 + 4x) + 1 Reorder the terms: -24 + 7x = 14 + 1 + 4x Combine like terms: 14 + 1 = 15 -24 + 7x = 15 + 4x Solving -24 + 7x = 15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -24 + 7x + -4x = 15 + 4x + -4x Combine like terms: 7x + -4x = 3x -24 + 3x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + 3x = 15 + 0 -24 + 3x = 15 Add '24' to each side of the equation. -24 + 24 + 3x = 15 + 24 Combine like terms: -24 + 24 = 0 0 + 3x = 15 + 24 3x = 15 + 24 Combine like terms: 15 + 24 = 39 3x = 39 Divide each side by '3'. x = 13 Simplifying x = 13
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