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Simplifying 5(3x + -2) + -7(x + -4) = 8x + 18 Reorder the terms: 5(-2 + 3x) + -7(x + -4) = 8x + 18 (-2 * 5 + 3x * 5) + -7(x + -4) = 8x + 18 (-10 + 15x) + -7(x + -4) = 8x + 18 Reorder the terms: -10 + 15x + -7(-4 + x) = 8x + 18 -10 + 15x + (-4 * -7 + x * -7) = 8x + 18 -10 + 15x + (28 + -7x) = 8x + 18 Reorder the terms: -10 + 28 + 15x + -7x = 8x + 18 Combine like terms: -10 + 28 = 18 18 + 15x + -7x = 8x + 18 Combine like terms: 15x + -7x = 8x 18 + 8x = 8x + 18 Reorder the terms: 18 + 8x = 18 + 8x Add '-18' to each side of the equation. 18 + -18 + 8x = 18 + -18 + 8x Combine like terms: 18 + -18 = 0 0 + 8x = 18 + -18 + 8x 8x = 18 + -18 + 8x Combine like terms: 18 + -18 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 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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