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Simplifying 6(x + -3) + 10 = 2(3x + -4) Reorder the terms: 6(-3 + x) + 10 = 2(3x + -4) (-3 * 6 + x * 6) + 10 = 2(3x + -4) (-18 + 6x) + 10 = 2(3x + -4) Reorder the terms: -18 + 10 + 6x = 2(3x + -4) Combine like terms: -18 + 10 = -8 -8 + 6x = 2(3x + -4) Reorder the terms: -8 + 6x = 2(-4 + 3x) -8 + 6x = (-4 * 2 + 3x * 2) -8 + 6x = (-8 + 6x) Add '8' to each side of the equation. -8 + 8 + 6x = -8 + 8 + 6x Combine like terms: -8 + 8 = 0 0 + 6x = -8 + 8 + 6x 6x = -8 + 8 + 6x Combine like terms: -8 + 8 = 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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