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Simplifying 2(3x + -7) + 4 = 8x + -35 Reorder the terms: 2(-7 + 3x) + 4 = 8x + -35 (-7 * 2 + 3x * 2) + 4 = 8x + -35 (-14 + 6x) + 4 = 8x + -35 Reorder the terms: -14 + 4 + 6x = 8x + -35 Combine like terms: -14 + 4 = -10 -10 + 6x = 8x + -35 Reorder the terms: -10 + 6x = -35 + 8x Solving -10 + 6x = -35 + 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. -10 + 6x + -8x = -35 + 8x + -8x Combine like terms: 6x + -8x = -2x -10 + -2x = -35 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + -2x = -35 + 0 -10 + -2x = -35 Add '10' to each side of the equation. -10 + 10 + -2x = -35 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -35 + 10 -2x = -35 + 10 Combine like terms: -35 + 10 = -25 -2x = -25 Divide each side by '-2'. x = 12.5 Simplifying x = 12.5
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