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Simplifying 3x + -1(x + 1) = -3 + 4(x + -3) Reorder the terms: 3x + -1(1 + x) = -3 + 4(x + -3) 3x + (1 * -1 + x * -1) = -3 + 4(x + -3) 3x + (-1 + -1x) = -3 + 4(x + -3) Reorder the terms: -1 + 3x + -1x = -3 + 4(x + -3) Combine like terms: 3x + -1x = 2x -1 + 2x = -3 + 4(x + -3) Reorder the terms: -1 + 2x = -3 + 4(-3 + x) -1 + 2x = -3 + (-3 * 4 + x * 4) -1 + 2x = -3 + (-12 + 4x) Combine like terms: -3 + -12 = -15 -1 + 2x = -15 + 4x Solving -1 + 2x = -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. -1 + 2x + -4x = -15 + 4x + -4x Combine like terms: 2x + -4x = -2x -1 + -2x = -15 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -2x = -15 + 0 -1 + -2x = -15 Add '1' to each side of the equation. -1 + 1 + -2x = -15 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = -15 + 1 -2x = -15 + 1 Combine like terms: -15 + 1 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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