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Simplifying 3(5 + -3x) + -2(4 + -1x) = 7 + -7x (5 * 3 + -3x * 3) + -2(4 + -1x) = 7 + -7x (15 + -9x) + -2(4 + -1x) = 7 + -7x 15 + -9x + (4 * -2 + -1x * -2) = 7 + -7x 15 + -9x + (-8 + 2x) = 7 + -7x Reorder the terms: 15 + -8 + -9x + 2x = 7 + -7x Combine like terms: 15 + -8 = 7 7 + -9x + 2x = 7 + -7x Combine like terms: -9x + 2x = -7x 7 + -7x = 7 + -7x Add '-7' to each side of the equation. 7 + -7 + -7x = 7 + -7 + -7x Combine like terms: 7 + -7 = 0 0 + -7x = 7 + -7 + -7x -7x = 7 + -7 + -7x Combine like terms: 7 + -7 = 0 -7x = 0 + -7x -7x = -7x Add '7x' to each side of the equation. -7x + 7x = -7x + 7x Combine like terms: -7x + 7x = 0 0 = -7x + 7x Combine like terms: -7x + 7x = 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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