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Simplifying 1(6x + 1) = 3(x + -4) + -1 Reorder the terms: 1(1 + 6x) = 3(x + -4) + -1 (1 * 1 + 6x * 1) = 3(x + -4) + -1 (1 + 6x) = 3(x + -4) + -1 Reorder the terms: 1 + 6x = 3(-4 + x) + -1 1 + 6x = (-4 * 3 + x * 3) + -1 1 + 6x = (-12 + 3x) + -1 Reorder the terms: 1 + 6x = -12 + -1 + 3x Combine like terms: -12 + -1 = -13 1 + 6x = -13 + 3x Solving 1 + 6x = -13 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 1 + 6x + -3x = -13 + 3x + -3x Combine like terms: 6x + -3x = 3x 1 + 3x = -13 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 3x = -13 + 0 1 + 3x = -13 Add '-1' to each side of the equation. 1 + -1 + 3x = -13 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = -13 + -1 3x = -13 + -1 Combine like terms: -13 + -1 = -14 3x = -14 Divide each side by '3'. x = -4.666666667 Simplifying x = -4.666666667
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