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Simplifying 6x + 4(x + -4) = 10(x + -4) + 24 Reorder the terms: 6x + 4(-4 + x) = 10(x + -4) + 24 6x + (-4 * 4 + x * 4) = 10(x + -4) + 24 6x + (-16 + 4x) = 10(x + -4) + 24 Reorder the terms: -16 + 6x + 4x = 10(x + -4) + 24 Combine like terms: 6x + 4x = 10x -16 + 10x = 10(x + -4) + 24 Reorder the terms: -16 + 10x = 10(-4 + x) + 24 -16 + 10x = (-4 * 10 + x * 10) + 24 -16 + 10x = (-40 + 10x) + 24 Reorder the terms: -16 + 10x = -40 + 24 + 10x Combine like terms: -40 + 24 = -16 -16 + 10x = -16 + 10x Add '16' to each side of the equation. -16 + 16 + 10x = -16 + 16 + 10x Combine like terms: -16 + 16 = 0 0 + 10x = -16 + 16 + 10x 10x = -16 + 16 + 10x Combine like terms: -16 + 16 = 0 10x = 0 + 10x 10x = 10x Add '-10x' to each side of the equation. 10x + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 0 = 10x + -10x Combine like terms: 10x + -10x = 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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