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Simplifying 7x + 6 + -1x = 4(1x + -4) Reorder the terms: 6 + 7x + -1x = 4(1x + -4) Combine like terms: 7x + -1x = 6x 6 + 6x = 4(1x + -4) Reorder the terms: 6 + 6x = 4(-4 + 1x) 6 + 6x = (-4 * 4 + 1x * 4) 6 + 6x = (-16 + 4x) Solving 6 + 6x = -16 + 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. 6 + 6x + -4x = -16 + 4x + -4x Combine like terms: 6x + -4x = 2x 6 + 2x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 2x = -16 + 0 6 + 2x = -16 Add '-6' to each side of the equation. 6 + -6 + 2x = -16 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -16 + -6 2x = -16 + -6 Combine like terms: -16 + -6 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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