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Simplifying 2x + -17 = 4(x + -3) + 1 Reorder the terms: -17 + 2x = 4(x + -3) + 1 Reorder the terms: -17 + 2x = 4(-3 + x) + 1 -17 + 2x = (-3 * 4 + x * 4) + 1 -17 + 2x = (-12 + 4x) + 1 Reorder the terms: -17 + 2x = -12 + 1 + 4x Combine like terms: -12 + 1 = -11 -17 + 2x = -11 + 4x Solving -17 + 2x = -11 + 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. -17 + 2x + -4x = -11 + 4x + -4x Combine like terms: 2x + -4x = -2x -17 + -2x = -11 + 4x + -4x Combine like terms: 4x + -4x = 0 -17 + -2x = -11 + 0 -17 + -2x = -11 Add '17' to each side of the equation. -17 + 17 + -2x = -11 + 17 Combine like terms: -17 + 17 = 0 0 + -2x = -11 + 17 -2x = -11 + 17 Combine like terms: -11 + 17 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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