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Simplifying 5x + -4(x + 3) = 7x + 14 Reorder the terms: 5x + -4(3 + x) = 7x + 14 5x + (3 * -4 + x * -4) = 7x + 14 5x + (-12 + -4x) = 7x + 14 Reorder the terms: -12 + 5x + -4x = 7x + 14 Combine like terms: 5x + -4x = 1x -12 + 1x = 7x + 14 Reorder the terms: -12 + 1x = 14 + 7x Solving -12 + 1x = 14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + 1x + -7x = 14 + 7x + -7x Combine like terms: 1x + -7x = -6x -12 + -6x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -6x = 14 + 0 -12 + -6x = 14 Add '12' to each side of the equation. -12 + 12 + -6x = 14 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = 14 + 12 -6x = 14 + 12 Combine like terms: 14 + 12 = 26 -6x = 26 Divide each side by '-6'. x = -4.333333333 Simplifying x = -4.333333333
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