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Simplifying 7(x + -4) + -2(1 + 7x) = 3x + 7 + 6x + -5 Reorder the terms: 7(-4 + x) + -2(1 + 7x) = 3x + 7 + 6x + -5 (-4 * 7 + x * 7) + -2(1 + 7x) = 3x + 7 + 6x + -5 (-28 + 7x) + -2(1 + 7x) = 3x + 7 + 6x + -5 -28 + 7x + (1 * -2 + 7x * -2) = 3x + 7 + 6x + -5 -28 + 7x + (-2 + -14x) = 3x + 7 + 6x + -5 Reorder the terms: -28 + -2 + 7x + -14x = 3x + 7 + 6x + -5 Combine like terms: -28 + -2 = -30 -30 + 7x + -14x = 3x + 7 + 6x + -5 Combine like terms: 7x + -14x = -7x -30 + -7x = 3x + 7 + 6x + -5 Reorder the terms: -30 + -7x = 7 + -5 + 3x + 6x Combine like terms: 7 + -5 = 2 -30 + -7x = 2 + 3x + 6x Combine like terms: 3x + 6x = 9x -30 + -7x = 2 + 9x Solving -30 + -7x = 2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -30 + -7x + -9x = 2 + 9x + -9x Combine like terms: -7x + -9x = -16x -30 + -16x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 -30 + -16x = 2 + 0 -30 + -16x = 2 Add '30' to each side of the equation. -30 + 30 + -16x = 2 + 30 Combine like terms: -30 + 30 = 0 0 + -16x = 2 + 30 -16x = 2 + 30 Combine like terms: 2 + 30 = 32 -16x = 32 Divide each side by '-16'. x = -2 Simplifying x = -2
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