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Simplifying 30x + -5 = 4(6x + -3) + 6x + 7 Reorder the terms: -5 + 30x = 4(6x + -3) + 6x + 7 Reorder the terms: -5 + 30x = 4(-3 + 6x) + 6x + 7 -5 + 30x = (-3 * 4 + 6x * 4) + 6x + 7 -5 + 30x = (-12 + 24x) + 6x + 7 Reorder the terms: -5 + 30x = -12 + 7 + 24x + 6x Combine like terms: -12 + 7 = -5 -5 + 30x = -5 + 24x + 6x Combine like terms: 24x + 6x = 30x -5 + 30x = -5 + 30x Add '5' to each side of the equation. -5 + 5 + 30x = -5 + 5 + 30x Combine like terms: -5 + 5 = 0 0 + 30x = -5 + 5 + 30x 30x = -5 + 5 + 30x Combine like terms: -5 + 5 = 0 30x = 0 + 30x 30x = 30x Add '-30x' to each side of the equation. 30x + -30x = 30x + -30x Combine like terms: 30x + -30x = 0 0 = 30x + -30x Combine like terms: 30x + -30x = 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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