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Simplifying 7(5x + -3) + x + 3 = 7(2x + 10) Reorder the terms: 7(-3 + 5x) + x + 3 = 7(2x + 10) (-3 * 7 + 5x * 7) + x + 3 = 7(2x + 10) (-21 + 35x) + x + 3 = 7(2x + 10) Reorder the terms: -21 + 3 + 35x + x = 7(2x + 10) Combine like terms: -21 + 3 = -18 -18 + 35x + x = 7(2x + 10) Combine like terms: 35x + x = 36x -18 + 36x = 7(2x + 10) Reorder the terms: -18 + 36x = 7(10 + 2x) -18 + 36x = (10 * 7 + 2x * 7) -18 + 36x = (70 + 14x) Solving -18 + 36x = 70 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -18 + 36x + -14x = 70 + 14x + -14x Combine like terms: 36x + -14x = 22x -18 + 22x = 70 + 14x + -14x Combine like terms: 14x + -14x = 0 -18 + 22x = 70 + 0 -18 + 22x = 70 Add '18' to each side of the equation. -18 + 18 + 22x = 70 + 18 Combine like terms: -18 + 18 = 0 0 + 22x = 70 + 18 22x = 70 + 18 Combine like terms: 70 + 18 = 88 22x = 88 Divide each side by '22'. x = 4 Simplifying x = 4
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