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Simplifying -6x + 6 + -1(-4x + -1) = 4x + -3 Reorder the terms: -6x + 6 + -1(-1 + -4x) = 4x + -3 -6x + 6 + (-1 * -1 + -4x * -1) = 4x + -3 -6x + 6 + (1 + 4x) = 4x + -3 Reorder the terms: 6 + 1 + -6x + 4x = 4x + -3 Combine like terms: 6 + 1 = 7 7 + -6x + 4x = 4x + -3 Combine like terms: -6x + 4x = -2x 7 + -2x = 4x + -3 Reorder the terms: 7 + -2x = -3 + 4x Solving 7 + -2x = -3 + 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. 7 + -2x + -4x = -3 + 4x + -4x Combine like terms: -2x + -4x = -6x 7 + -6x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -6x = -3 + 0 7 + -6x = -3 Add '-7' to each side of the equation. 7 + -7 + -6x = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = -3 + -7 -6x = -3 + -7 Combine like terms: -3 + -7 = -10 -6x = -10 Divide each side by '-6'. x = 1.666666667 Simplifying x = 1.666666667
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