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Simplifying 6x + -1(3 + -7x) + -10(x + 1) = 3(x + -3) + -4 6x + (3 * -1 + -7x * -1) + -10(x + 1) = 3(x + -3) + -4 6x + (-3 + 7x) + -10(x + 1) = 3(x + -3) + -4 Reorder the terms: 6x + -3 + 7x + -10(1 + x) = 3(x + -3) + -4 6x + -3 + 7x + (1 * -10 + x * -10) = 3(x + -3) + -4 6x + -3 + 7x + (-10 + -10x) = 3(x + -3) + -4 Reorder the terms: -3 + -10 + 6x + 7x + -10x = 3(x + -3) + -4 Combine like terms: -3 + -10 = -13 -13 + 6x + 7x + -10x = 3(x + -3) + -4 Combine like terms: 6x + 7x = 13x -13 + 13x + -10x = 3(x + -3) + -4 Combine like terms: 13x + -10x = 3x -13 + 3x = 3(x + -3) + -4 Reorder the terms: -13 + 3x = 3(-3 + x) + -4 -13 + 3x = (-3 * 3 + x * 3) + -4 -13 + 3x = (-9 + 3x) + -4 Reorder the terms: -13 + 3x = -9 + -4 + 3x Combine like terms: -9 + -4 = -13 -13 + 3x = -13 + 3x Add '13' to each side of the equation. -13 + 13 + 3x = -13 + 13 + 3x Combine like terms: -13 + 13 = 0 0 + 3x = -13 + 13 + 3x 3x = -13 + 13 + 3x Combine like terms: -13 + 13 = 0 3x = 0 + 3x 3x = 3x Add '-3x' to each side of the equation. 3x + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 0 = 3x + -3x Combine like terms: 3x + -3x = 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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