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Simplifying 5x + -2(3x + 4) = 2(x + 7) Reorder the terms: 5x + -2(4 + 3x) = 2(x + 7) 5x + (4 * -2 + 3x * -2) = 2(x + 7) 5x + (-8 + -6x) = 2(x + 7) Reorder the terms: -8 + 5x + -6x = 2(x + 7) Combine like terms: 5x + -6x = -1x -8 + -1x = 2(x + 7) Reorder the terms: -8 + -1x = 2(7 + x) -8 + -1x = (7 * 2 + x * 2) -8 + -1x = (14 + 2x) Solving -8 + -1x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + -1x + -2x = 14 + 2x + -2x Combine like terms: -1x + -2x = -3x -8 + -3x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -3x = 14 + 0 -8 + -3x = 14 Add '8' to each side of the equation. -8 + 8 + -3x = 14 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 14 + 8 -3x = 14 + 8 Combine like terms: 14 + 8 = 22 -3x = 22 Divide each side by '-3'. x = -7.333333333 Simplifying x = -7.333333333
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