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Simplifying 4x + -1 = -3 + 2(3x + -7) Reorder the terms: -1 + 4x = -3 + 2(3x + -7) Reorder the terms: -1 + 4x = -3 + 2(-7 + 3x) -1 + 4x = -3 + (-7 * 2 + 3x * 2) -1 + 4x = -3 + (-14 + 6x) Combine like terms: -3 + -14 = -17 -1 + 4x = -17 + 6x Solving -1 + 4x = -17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + 4x + -6x = -17 + 6x + -6x Combine like terms: 4x + -6x = -2x -1 + -2x = -17 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -2x = -17 + 0 -1 + -2x = -17 Add '1' to each side of the equation. -1 + 1 + -2x = -17 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = -17 + 1 -2x = -17 + 1 Combine like terms: -17 + 1 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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