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Simplifying 7(2x + -5) + 7x = 10(3 + -2x) + -2(-1x + -7) Reorder the terms: 7(-5 + 2x) + 7x = 10(3 + -2x) + -2(-1x + -7) (-5 * 7 + 2x * 7) + 7x = 10(3 + -2x) + -2(-1x + -7) (-35 + 14x) + 7x = 10(3 + -2x) + -2(-1x + -7) Combine like terms: 14x + 7x = 21x -35 + 21x = 10(3 + -2x) + -2(-1x + -7) -35 + 21x = (3 * 10 + -2x * 10) + -2(-1x + -7) -35 + 21x = (30 + -20x) + -2(-1x + -7) Reorder the terms: -35 + 21x = 30 + -20x + -2(-7 + -1x) -35 + 21x = 30 + -20x + (-7 * -2 + -1x * -2) -35 + 21x = 30 + -20x + (14 + 2x) Reorder the terms: -35 + 21x = 30 + 14 + -20x + 2x Combine like terms: 30 + 14 = 44 -35 + 21x = 44 + -20x + 2x Combine like terms: -20x + 2x = -18x -35 + 21x = 44 + -18x Solving -35 + 21x = 44 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -35 + 21x + 18x = 44 + -18x + 18x Combine like terms: 21x + 18x = 39x -35 + 39x = 44 + -18x + 18x Combine like terms: -18x + 18x = 0 -35 + 39x = 44 + 0 -35 + 39x = 44 Add '35' to each side of the equation. -35 + 35 + 39x = 44 + 35 Combine like terms: -35 + 35 = 0 0 + 39x = 44 + 35 39x = 44 + 35 Combine like terms: 44 + 35 = 79 39x = 79 Divide each side by '39'. x = 2.025641026 Simplifying x = 2.025641026
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