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Simplifying 6(3x + -5) + 2(3x + -5) = 8(3x + -5) Reorder the terms: 6(-5 + 3x) + 2(3x + -5) = 8(3x + -5) (-5 * 6 + 3x * 6) + 2(3x + -5) = 8(3x + -5) (-30 + 18x) + 2(3x + -5) = 8(3x + -5) Reorder the terms: -30 + 18x + 2(-5 + 3x) = 8(3x + -5) -30 + 18x + (-5 * 2 + 3x * 2) = 8(3x + -5) -30 + 18x + (-10 + 6x) = 8(3x + -5) Reorder the terms: -30 + -10 + 18x + 6x = 8(3x + -5) Combine like terms: -30 + -10 = -40 -40 + 18x + 6x = 8(3x + -5) Combine like terms: 18x + 6x = 24x -40 + 24x = 8(3x + -5) Reorder the terms: -40 + 24x = 8(-5 + 3x) -40 + 24x = (-5 * 8 + 3x * 8) -40 + 24x = (-40 + 24x) Add '40' to each side of the equation. -40 + 40 + 24x = -40 + 40 + 24x Combine like terms: -40 + 40 = 0 0 + 24x = -40 + 40 + 24x 24x = -40 + 40 + 24x Combine like terms: -40 + 40 = 0 24x = 0 + 24x 24x = 24x Add '-24x' to each side of the equation. 24x + -24x = 24x + -24x Combine like terms: 24x + -24x = 0 0 = 24x + -24x 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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