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Simplifying 6(4x + -5) + 8 = 8(3x + -4) + 10 Reorder the terms: 6(-5 + 4x) + 8 = 8(3x + -4) + 10 (-5 * 6 + 4x * 6) + 8 = 8(3x + -4) + 10 (-30 + 24x) + 8 = 8(3x + -4) + 10 Reorder the terms: -30 + 8 + 24x = 8(3x + -4) + 10 Combine like terms: -30 + 8 = -22 -22 + 24x = 8(3x + -4) + 10 Reorder the terms: -22 + 24x = 8(-4 + 3x) + 10 -22 + 24x = (-4 * 8 + 3x * 8) + 10 -22 + 24x = (-32 + 24x) + 10 Reorder the terms: -22 + 24x = -32 + 10 + 24x Combine like terms: -32 + 10 = -22 -22 + 24x = -22 + 24x Add '22' to each side of the equation. -22 + 22 + 24x = -22 + 22 + 24x Combine like terms: -22 + 22 = 0 0 + 24x = -22 + 22 + 24x 24x = -22 + 22 + 24x Combine like terms: -22 + 22 = 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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