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Simplifying 7(x + -4) + 14 = -3(5 + -2x) Reorder the terms: 7(-4 + x) + 14 = -3(5 + -2x) (-4 * 7 + x * 7) + 14 = -3(5 + -2x) (-28 + 7x) + 14 = -3(5 + -2x) Reorder the terms: -28 + 14 + 7x = -3(5 + -2x) Combine like terms: -28 + 14 = -14 -14 + 7x = -3(5 + -2x) -14 + 7x = (5 * -3 + -2x * -3) -14 + 7x = (-15 + 6x) Solving -14 + 7x = -15 + 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. -14 + 7x + -6x = -15 + 6x + -6x Combine like terms: 7x + -6x = 1x -14 + 1x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + 1x = -15 + 0 -14 + 1x = -15 Add '14' to each side of the equation. -14 + 14 + 1x = -15 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = -15 + 14 1x = -15 + 14 Combine like terms: -15 + 14 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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