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Simplifying 7 + 8(3x + -5) = 3 + -1[4 + -8(3x + -4)] Reorder the terms: 7 + 8(-5 + 3x) = 3 + -1[4 + -8(3x + -4)] 7 + (-5 * 8 + 3x * 8) = 3 + -1[4 + -8(3x + -4)] 7 + (-40 + 24x) = 3 + -1[4 + -8(3x + -4)] Combine like terms: 7 + -40 = -33 -33 + 24x = 3 + -1[4 + -8(3x + -4)] Reorder the terms: -33 + 24x = 3 + -1[4 + -8(-4 + 3x)] -33 + 24x = 3 + -1[4 + (-4 * -8 + 3x * -8)] -33 + 24x = 3 + -1[4 + (32 + -24x)] Combine like terms: 4 + 32 = 36 -33 + 24x = 3 + -1[36 + -24x] -33 + 24x = 3 + [36 * -1 + -24x * -1] -33 + 24x = 3 + [-36 + 24x] Combine like terms: 3 + -36 = -33 -33 + 24x = -33 + 24x Add '33' to each side of the equation. -33 + 33 + 24x = -33 + 33 + 24x Combine like terms: -33 + 33 = 0 0 + 24x = -33 + 33 + 24x 24x = -33 + 33 + 24x Combine like terms: -33 + 33 = 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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