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Simplifying 2(x + 3) = 6x + -4(x + -1.5) Reorder the terms: 2(3 + x) = 6x + -4(x + -1.5) (3 * 2 + x * 2) = 6x + -4(x + -1.5) (6 + 2x) = 6x + -4(x + -1.5) Reorder the terms: 6 + 2x = 6x + -4(-1.5 + x) 6 + 2x = 6x + (-1.5 * -4 + x * -4) 6 + 2x = 6x + (6 + -4x) Reorder the terms: 6 + 2x = 6 + 6x + -4x Combine like terms: 6x + -4x = 2x 6 + 2x = 6 + 2x Add '-6' to each side of the equation. 6 + -6 + 2x = 6 + -6 + 2x Combine like terms: 6 + -6 = 0 0 + 2x = 6 + -6 + 2x 2x = 6 + -6 + 2x Combine like terms: 6 + -6 = 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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