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Simplifying 5(2x + -1) + -1 = 4(x + -3) + 6(x + 1) Reorder the terms: 5(-1 + 2x) + -1 = 4(x + -3) + 6(x + 1) (-1 * 5 + 2x * 5) + -1 = 4(x + -3) + 6(x + 1) (-5 + 10x) + -1 = 4(x + -3) + 6(x + 1) Reorder the terms: -5 + -1 + 10x = 4(x + -3) + 6(x + 1) Combine like terms: -5 + -1 = -6 -6 + 10x = 4(x + -3) + 6(x + 1) Reorder the terms: -6 + 10x = 4(-3 + x) + 6(x + 1) -6 + 10x = (-3 * 4 + x * 4) + 6(x + 1) -6 + 10x = (-12 + 4x) + 6(x + 1) Reorder the terms: -6 + 10x = -12 + 4x + 6(1 + x) -6 + 10x = -12 + 4x + (1 * 6 + x * 6) -6 + 10x = -12 + 4x + (6 + 6x) Reorder the terms: -6 + 10x = -12 + 6 + 4x + 6x Combine like terms: -12 + 6 = -6 -6 + 10x = -6 + 4x + 6x Combine like terms: 4x + 6x = 10x -6 + 10x = -6 + 10x Add '6' to each side of the equation. -6 + 6 + 10x = -6 + 6 + 10x Combine like terms: -6 + 6 = 0 0 + 10x = -6 + 6 + 10x 10x = -6 + 6 + 10x Combine like terms: -6 + 6 = 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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