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Simplifying 7x + -1(x + 3) = 6(x + 5) + -33 Reorder the terms: 7x + -1(3 + x) = 6(x + 5) + -33 7x + (3 * -1 + x * -1) = 6(x + 5) + -33 7x + (-3 + -1x) = 6(x + 5) + -33 Reorder the terms: -3 + 7x + -1x = 6(x + 5) + -33 Combine like terms: 7x + -1x = 6x -3 + 6x = 6(x + 5) + -33 Reorder the terms: -3 + 6x = 6(5 + x) + -33 -3 + 6x = (5 * 6 + x * 6) + -33 -3 + 6x = (30 + 6x) + -33 Reorder the terms: -3 + 6x = 30 + -33 + 6x Combine like terms: 30 + -33 = -3 -3 + 6x = -3 + 6x Add '3' to each side of the equation. -3 + 3 + 6x = -3 + 3 + 6x Combine like terms: -3 + 3 = 0 0 + 6x = -3 + 3 + 6x 6x = -3 + 3 + 6x Combine like terms: -3 + 3 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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