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Simplifying 7(2x + -8) + -2 = 7(x + -5) + (5) Reorder the terms: 7(-8 + 2x) + -2 = 7(x + -5) + (5) (-8 * 7 + 2x * 7) + -2 = 7(x + -5) + (5) (-56 + 14x) + -2 = 7(x + -5) + (5) Reorder the terms: -56 + -2 + 14x = 7(x + -5) + (5) Combine like terms: -56 + -2 = -58 -58 + 14x = 7(x + -5) + (5) Reorder the terms: -58 + 14x = 7(-5 + x) + (5) -58 + 14x = (-5 * 7 + x * 7) + (5) -58 + 14x = (-35 + 7x) + (5) -58 + 14x = -35 + 7x + 5 Reorder the terms: -58 + 14x = -35 + 5 + 7x Combine like terms: -35 + 5 = -30 -58 + 14x = -30 + 7x Solving -58 + 14x = -30 + 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. -58 + 14x + -7x = -30 + 7x + -7x Combine like terms: 14x + -7x = 7x -58 + 7x = -30 + 7x + -7x Combine like terms: 7x + -7x = 0 -58 + 7x = -30 + 0 -58 + 7x = -30 Add '58' to each side of the equation. -58 + 58 + 7x = -30 + 58 Combine like terms: -58 + 58 = 0 0 + 7x = -30 + 58 7x = -30 + 58 Combine like terms: -30 + 58 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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