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Simplifying -17x + 4(x + -7) = -3(3x + -1) + 1 Reorder the terms: -17x + 4(-7 + x) = -3(3x + -1) + 1 -17x + (-7 * 4 + x * 4) = -3(3x + -1) + 1 -17x + (-28 + 4x) = -3(3x + -1) + 1 Reorder the terms: -28 + -17x + 4x = -3(3x + -1) + 1 Combine like terms: -17x + 4x = -13x -28 + -13x = -3(3x + -1) + 1 Reorder the terms: -28 + -13x = -3(-1 + 3x) + 1 -28 + -13x = (-1 * -3 + 3x * -3) + 1 -28 + -13x = (3 + -9x) + 1 Reorder the terms: -28 + -13x = 3 + 1 + -9x Combine like terms: 3 + 1 = 4 -28 + -13x = 4 + -9x Solving -28 + -13x = 4 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -28 + -13x + 9x = 4 + -9x + 9x Combine like terms: -13x + 9x = -4x -28 + -4x = 4 + -9x + 9x Combine like terms: -9x + 9x = 0 -28 + -4x = 4 + 0 -28 + -4x = 4 Add '28' to each side of the equation. -28 + 28 + -4x = 4 + 28 Combine like terms: -28 + 28 = 0 0 + -4x = 4 + 28 -4x = 4 + 28 Combine like terms: 4 + 28 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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