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Simplifying 7(x + -4) = 14(x + -3) Reorder the terms: 7(-4 + x) = 14(x + -3) (-4 * 7 + x * 7) = 14(x + -3) (-28 + 7x) = 14(x + -3) Reorder the terms: -28 + 7x = 14(-3 + x) -28 + 7x = (-3 * 14 + x * 14) -28 + 7x = (-42 + 14x) Solving -28 + 7x = -42 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -28 + 7x + -14x = -42 + 14x + -14x Combine like terms: 7x + -14x = -7x -28 + -7x = -42 + 14x + -14x Combine like terms: 14x + -14x = 0 -28 + -7x = -42 + 0 -28 + -7x = -42 Add '28' to each side of the equation. -28 + 28 + -7x = -42 + 28 Combine like terms: -28 + 28 = 0 0 + -7x = -42 + 28 -7x = -42 + 28 Combine like terms: -42 + 28 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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