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Simplifying 6[x + -3] + 10 = 2[3x + -4] Reorder the terms: 6[-3 + x] + 10 = 2[3x + -4] [-3 * 6 + x * 6] + 10 = 2[3x + -4] [-18 + 6x] + 10 = 2[3x + -4] Reorder the terms: -18 + 10 + 6x = 2[3x + -4] Combine like terms: -18 + 10 = -8 -8 + 6x = 2[3x + -4] Reorder the terms: -8 + 6x = 2[-4 + 3x] -8 + 6x = [-4 * 2 + 3x * 2] -8 + 6x = [-8 + 6x] Add '8' to each side of the equation. -8 + 8 + 6x = -8 + 8 + 6x Combine like terms: -8 + 8 = 0 0 + 6x = -8 + 8 + 6x 6x = -8 + 8 + 6x Combine like terms: -8 + 8 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 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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