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Simplifying 18x + 13 + -4(3x + -7) = x + 6 Reorder the terms: 18x + 13 + -4(-7 + 3x) = x + 6 18x + 13 + (-7 * -4 + 3x * -4) = x + 6 18x + 13 + (28 + -12x) = x + 6 Reorder the terms: 13 + 28 + 18x + -12x = x + 6 Combine like terms: 13 + 28 = 41 41 + 18x + -12x = x + 6 Combine like terms: 18x + -12x = 6x 41 + 6x = x + 6 Reorder the terms: 41 + 6x = 6 + x Solving 41 + 6x = 6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 41 + 6x + -1x = 6 + x + -1x Combine like terms: 6x + -1x = 5x 41 + 5x = 6 + x + -1x Combine like terms: x + -1x = 0 41 + 5x = 6 + 0 41 + 5x = 6 Add '-41' to each side of the equation. 41 + -41 + 5x = 6 + -41 Combine like terms: 41 + -41 = 0 0 + 5x = 6 + -41 5x = 6 + -41 Combine like terms: 6 + -41 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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