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Simplifying (4 + -1x) + -1(3x + 2) = 7 + 4(x + -7) Remove parenthesis around (4 + -1x) 4 + -1x + -1(3x + 2) = 7 + 4(x + -7) Reorder the terms: 4 + -1x + -1(2 + 3x) = 7 + 4(x + -7) 4 + -1x + (2 * -1 + 3x * -1) = 7 + 4(x + -7) 4 + -1x + (-2 + -3x) = 7 + 4(x + -7) Reorder the terms: 4 + -2 + -1x + -3x = 7 + 4(x + -7) Combine like terms: 4 + -2 = 2 2 + -1x + -3x = 7 + 4(x + -7) Combine like terms: -1x + -3x = -4x 2 + -4x = 7 + 4(x + -7) Reorder the terms: 2 + -4x = 7 + 4(-7 + x) 2 + -4x = 7 + (-7 * 4 + x * 4) 2 + -4x = 7 + (-28 + 4x) Combine like terms: 7 + -28 = -21 2 + -4x = -21 + 4x Solving 2 + -4x = -21 + 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. 2 + -4x + -4x = -21 + 4x + -4x Combine like terms: -4x + -4x = -8x 2 + -8x = -21 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -8x = -21 + 0 2 + -8x = -21 Add '-2' to each side of the equation. 2 + -2 + -8x = -21 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = -21 + -2 -8x = -21 + -2 Combine like terms: -21 + -2 = -23 -8x = -23 Divide each side by '-8'. x = 2.875 Simplifying x = 2.875
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