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Simplifying 3(x + -14) = -4(x + -14) Reorder the terms: 3(-14 + x) = -4(x + -14) (-14 * 3 + x * 3) = -4(x + -14) (-42 + 3x) = -4(x + -14) Reorder the terms: -42 + 3x = -4(-14 + x) -42 + 3x = (-14 * -4 + x * -4) -42 + 3x = (56 + -4x) Solving -42 + 3x = 56 + -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. -42 + 3x + 4x = 56 + -4x + 4x Combine like terms: 3x + 4x = 7x -42 + 7x = 56 + -4x + 4x Combine like terms: -4x + 4x = 0 -42 + 7x = 56 + 0 -42 + 7x = 56 Add '42' to each side of the equation. -42 + 42 + 7x = 56 + 42 Combine like terms: -42 + 42 = 0 0 + 7x = 56 + 42 7x = 56 + 42 Combine like terms: 56 + 42 = 98 7x = 98 Divide each side by '7'. x = 14 Simplifying x = 14
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