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Simplifying 7(2x + -8) + -5 = 7(x + -3) + 2 Reorder the terms: 7(-8 + 2x) + -5 = 7(x + -3) + 2 (-8 * 7 + 2x * 7) + -5 = 7(x + -3) + 2 (-56 + 14x) + -5 = 7(x + -3) + 2 Reorder the terms: -56 + -5 + 14x = 7(x + -3) + 2 Combine like terms: -56 + -5 = -61 -61 + 14x = 7(x + -3) + 2 Reorder the terms: -61 + 14x = 7(-3 + x) + 2 -61 + 14x = (-3 * 7 + x * 7) + 2 -61 + 14x = (-21 + 7x) + 2 Reorder the terms: -61 + 14x = -21 + 2 + 7x Combine like terms: -21 + 2 = -19 -61 + 14x = -19 + 7x Solving -61 + 14x = -19 + 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. -61 + 14x + -7x = -19 + 7x + -7x Combine like terms: 14x + -7x = 7x -61 + 7x = -19 + 7x + -7x Combine like terms: 7x + -7x = 0 -61 + 7x = -19 + 0 -61 + 7x = -19 Add '61' to each side of the equation. -61 + 61 + 7x = -19 + 61 Combine like terms: -61 + 61 = 0 0 + 7x = -19 + 61 7x = -19 + 61 Combine like terms: -19 + 61 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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