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Simplifying 3(x + -4) + -1(x + 3) = -2x + 1 Reorder the terms: 3(-4 + x) + -1(x + 3) = -2x + 1 (-4 * 3 + x * 3) + -1(x + 3) = -2x + 1 (-12 + 3x) + -1(x + 3) = -2x + 1 Reorder the terms: -12 + 3x + -1(3 + x) = -2x + 1 -12 + 3x + (3 * -1 + x * -1) = -2x + 1 -12 + 3x + (-3 + -1x) = -2x + 1 Reorder the terms: -12 + -3 + 3x + -1x = -2x + 1 Combine like terms: -12 + -3 = -15 -15 + 3x + -1x = -2x + 1 Combine like terms: 3x + -1x = 2x -15 + 2x = -2x + 1 Reorder the terms: -15 + 2x = 1 + -2x Solving -15 + 2x = 1 + -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. -15 + 2x + 2x = 1 + -2x + 2x Combine like terms: 2x + 2x = 4x -15 + 4x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 4x = 1 + 0 -15 + 4x = 1 Add '15' to each side of the equation. -15 + 15 + 4x = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = 1 + 15 4x = 1 + 15 Combine like terms: 1 + 15 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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