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Simplifying 6(3x + -5) + 2(3x + -5) + -8(3x + -5) = 0 Reorder the terms: 6(-5 + 3x) + 2(3x + -5) + -8(3x + -5) = 0 (-5 * 6 + 3x * 6) + 2(3x + -5) + -8(3x + -5) = 0 (-30 + 18x) + 2(3x + -5) + -8(3x + -5) = 0 Reorder the terms: -30 + 18x + 2(-5 + 3x) + -8(3x + -5) = 0 -30 + 18x + (-5 * 2 + 3x * 2) + -8(3x + -5) = 0 -30 + 18x + (-10 + 6x) + -8(3x + -5) = 0 Reorder the terms: -30 + 18x + -10 + 6x + -8(-5 + 3x) = 0 -30 + 18x + -10 + 6x + (-5 * -8 + 3x * -8) = 0 -30 + 18x + -10 + 6x + (40 + -24x) = 0 Reorder the terms: -30 + -10 + 40 + 18x + 6x + -24x = 0 Combine like terms: -30 + -10 = -40 -40 + 40 + 18x + 6x + -24x = 0 Combine like terms: -40 + 40 = 0 0 + 18x + 6x + -24x = 0 18x + 6x + -24x = 0 Combine like terms: 18x + 6x = 24x 24x + -24x = 0 Combine like terms: 24x + -24x = 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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