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Simplifying 7x + 3(x + 5) + -11 = 4(x + -1) + 2(3x + 4) Reorder the terms: 7x + 3(5 + x) + -11 = 4(x + -1) + 2(3x + 4) 7x + (5 * 3 + x * 3) + -11 = 4(x + -1) + 2(3x + 4) 7x + (15 + 3x) + -11 = 4(x + -1) + 2(3x + 4) Reorder the terms: 15 + -11 + 7x + 3x = 4(x + -1) + 2(3x + 4) Combine like terms: 15 + -11 = 4 4 + 7x + 3x = 4(x + -1) + 2(3x + 4) Combine like terms: 7x + 3x = 10x 4 + 10x = 4(x + -1) + 2(3x + 4) Reorder the terms: 4 + 10x = 4(-1 + x) + 2(3x + 4) 4 + 10x = (-1 * 4 + x * 4) + 2(3x + 4) 4 + 10x = (-4 + 4x) + 2(3x + 4) Reorder the terms: 4 + 10x = -4 + 4x + 2(4 + 3x) 4 + 10x = -4 + 4x + (4 * 2 + 3x * 2) 4 + 10x = -4 + 4x + (8 + 6x) Reorder the terms: 4 + 10x = -4 + 8 + 4x + 6x Combine like terms: -4 + 8 = 4 4 + 10x = 4 + 4x + 6x Combine like terms: 4x + 6x = 10x 4 + 10x = 4 + 10x Add '-4' to each side of the equation. 4 + -4 + 10x = 4 + -4 + 10x Combine like terms: 4 + -4 = 0 0 + 10x = 4 + -4 + 10x 10x = 4 + -4 + 10x Combine like terms: 4 + -4 = 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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