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Simplifying 4x + -18 = -7(8 + -6x) Reorder the terms: -18 + 4x = -7(8 + -6x) -18 + 4x = (8 * -7 + -6x * -7) -18 + 4x = (-56 + 42x) Solving -18 + 4x = -56 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -18 + 4x + -42x = -56 + 42x + -42x Combine like terms: 4x + -42x = -38x -18 + -38x = -56 + 42x + -42x Combine like terms: 42x + -42x = 0 -18 + -38x = -56 + 0 -18 + -38x = -56 Add '18' to each side of the equation. -18 + 18 + -38x = -56 + 18 Combine like terms: -18 + 18 = 0 0 + -38x = -56 + 18 -38x = -56 + 18 Combine like terms: -56 + 18 = -38 -38x = -38 Divide each side by '-38'. x = 1 Simplifying x = 1
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