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Simplifying 4x + 6(2x + -7) = 14 + (x + -1) Reorder the terms: 4x + 6(-7 + 2x) = 14 + (x + -1) 4x + (-7 * 6 + 2x * 6) = 14 + (x + -1) 4x + (-42 + 12x) = 14 + (x + -1) Reorder the terms: -42 + 4x + 12x = 14 + (x + -1) Combine like terms: 4x + 12x = 16x -42 + 16x = 14 + (x + -1) Reorder the terms: -42 + 16x = 14 + (-1 + x) Remove parenthesis around (-1 + x) -42 + 16x = 14 + -1 + x Combine like terms: 14 + -1 = 13 -42 + 16x = 13 + x Solving -42 + 16x = 13 + 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. -42 + 16x + -1x = 13 + x + -1x Combine like terms: 16x + -1x = 15x -42 + 15x = 13 + x + -1x Combine like terms: x + -1x = 0 -42 + 15x = 13 + 0 -42 + 15x = 13 Add '42' to each side of the equation. -42 + 42 + 15x = 13 + 42 Combine like terms: -42 + 42 = 0 0 + 15x = 13 + 42 15x = 13 + 42 Combine like terms: 13 + 42 = 55 15x = 55 Divide each side by '15'. x = 3.666666667 Simplifying x = 3.666666667
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