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Simplifying 7(x + -3) = 2(5x + 1) + -3 Reorder the terms: 7(-3 + x) = 2(5x + 1) + -3 (-3 * 7 + x * 7) = 2(5x + 1) + -3 (-21 + 7x) = 2(5x + 1) + -3 Reorder the terms: -21 + 7x = 2(1 + 5x) + -3 -21 + 7x = (1 * 2 + 5x * 2) + -3 -21 + 7x = (2 + 10x) + -3 Reorder the terms: -21 + 7x = 2 + -3 + 10x Combine like terms: 2 + -3 = -1 -21 + 7x = -1 + 10x Solving -21 + 7x = -1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -21 + 7x + -10x = -1 + 10x + -10x Combine like terms: 7x + -10x = -3x -21 + -3x = -1 + 10x + -10x Combine like terms: 10x + -10x = 0 -21 + -3x = -1 + 0 -21 + -3x = -1 Add '21' to each side of the equation. -21 + 21 + -3x = -1 + 21 Combine like terms: -21 + 21 = 0 0 + -3x = -1 + 21 -3x = -1 + 21 Combine like terms: -1 + 21 = 20 -3x = 20 Divide each side by '-3'. x = -6.666666667 Simplifying x = -6.666666667
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