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Simplifying 5 + -2(3x + 8) = 4(2x + -1) + -7 Reorder the terms: 5 + -2(8 + 3x) = 4(2x + -1) + -7 5 + (8 * -2 + 3x * -2) = 4(2x + -1) + -7 5 + (-16 + -6x) = 4(2x + -1) + -7 Combine like terms: 5 + -16 = -11 -11 + -6x = 4(2x + -1) + -7 Reorder the terms: -11 + -6x = 4(-1 + 2x) + -7 -11 + -6x = (-1 * 4 + 2x * 4) + -7 -11 + -6x = (-4 + 8x) + -7 Reorder the terms: -11 + -6x = -4 + -7 + 8x Combine like terms: -4 + -7 = -11 -11 + -6x = -11 + 8x Add '11' to each side of the equation. -11 + 11 + -6x = -11 + 11 + 8x Combine like terms: -11 + 11 = 0 0 + -6x = -11 + 11 + 8x -6x = -11 + 11 + 8x Combine like terms: -11 + 11 = 0 -6x = 0 + 8x -6x = 8x Solving -6x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6x + -8x = 8x + -8x Combine like terms: -6x + -8x = -14x -14x = 8x + -8x Combine like terms: 8x + -8x = 0 -14x = 0 Divide each side by '-14'. x = 0 Simplifying x = 0
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