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Simplifying 4x + -6(3x + 7) = 14 + -6x Reorder the terms: 4x + -6(7 + 3x) = 14 + -6x 4x + (7 * -6 + 3x * -6) = 14 + -6x 4x + (-42 + -18x) = 14 + -6x Reorder the terms: -42 + 4x + -18x = 14 + -6x Combine like terms: 4x + -18x = -14x -42 + -14x = 14 + -6x Solving -42 + -14x = 14 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -42 + -14x + 6x = 14 + -6x + 6x Combine like terms: -14x + 6x = -8x -42 + -8x = 14 + -6x + 6x Combine like terms: -6x + 6x = 0 -42 + -8x = 14 + 0 -42 + -8x = 14 Add '42' to each side of the equation. -42 + 42 + -8x = 14 + 42 Combine like terms: -42 + 42 = 0 0 + -8x = 14 + 42 -8x = 14 + 42 Combine like terms: 14 + 42 = 56 -8x = 56 Divide each side by '-8'. x = -7 Simplifying x = -7
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