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Simplifying 3(x + -3) + 2(x + -4) = 5(x + -2) + -7 Reorder the terms: 3(-3 + x) + 2(x + -4) = 5(x + -2) + -7 (-3 * 3 + x * 3) + 2(x + -4) = 5(x + -2) + -7 (-9 + 3x) + 2(x + -4) = 5(x + -2) + -7 Reorder the terms: -9 + 3x + 2(-4 + x) = 5(x + -2) + -7 -9 + 3x + (-4 * 2 + x * 2) = 5(x + -2) + -7 -9 + 3x + (-8 + 2x) = 5(x + -2) + -7 Reorder the terms: -9 + -8 + 3x + 2x = 5(x + -2) + -7 Combine like terms: -9 + -8 = -17 -17 + 3x + 2x = 5(x + -2) + -7 Combine like terms: 3x + 2x = 5x -17 + 5x = 5(x + -2) + -7 Reorder the terms: -17 + 5x = 5(-2 + x) + -7 -17 + 5x = (-2 * 5 + x * 5) + -7 -17 + 5x = (-10 + 5x) + -7 Reorder the terms: -17 + 5x = -10 + -7 + 5x Combine like terms: -10 + -7 = -17 -17 + 5x = -17 + 5x Add '17' to each side of the equation. -17 + 17 + 5x = -17 + 17 + 5x Combine like terms: -17 + 17 = 0 0 + 5x = -17 + 17 + 5x 5x = -17 + 17 + 5x Combine like terms: -17 + 17 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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