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Simplifying -3(2x + 1) + 4(2x + -3) = 2x + -15 Reorder the terms: -3(1 + 2x) + 4(2x + -3) = 2x + -15 (1 * -3 + 2x * -3) + 4(2x + -3) = 2x + -15 (-3 + -6x) + 4(2x + -3) = 2x + -15 Reorder the terms: -3 + -6x + 4(-3 + 2x) = 2x + -15 -3 + -6x + (-3 * 4 + 2x * 4) = 2x + -15 -3 + -6x + (-12 + 8x) = 2x + -15 Reorder the terms: -3 + -12 + -6x + 8x = 2x + -15 Combine like terms: -3 + -12 = -15 -15 + -6x + 8x = 2x + -15 Combine like terms: -6x + 8x = 2x -15 + 2x = 2x + -15 Reorder the terms: -15 + 2x = -15 + 2x Add '15' to each side of the equation. -15 + 15 + 2x = -15 + 15 + 2x Combine like terms: -15 + 15 = 0 0 + 2x = -15 + 15 + 2x 2x = -15 + 15 + 2x Combine like terms: -15 + 15 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 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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