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Simplifying 4(x + -3) + 3(x + 2) = 2(4x + -5) + -1(x + -4) Reorder the terms: 4(-3 + x) + 3(x + 2) = 2(4x + -5) + -1(x + -4) (-3 * 4 + x * 4) + 3(x + 2) = 2(4x + -5) + -1(x + -4) (-12 + 4x) + 3(x + 2) = 2(4x + -5) + -1(x + -4) Reorder the terms: -12 + 4x + 3(2 + x) = 2(4x + -5) + -1(x + -4) -12 + 4x + (2 * 3 + x * 3) = 2(4x + -5) + -1(x + -4) -12 + 4x + (6 + 3x) = 2(4x + -5) + -1(x + -4) Reorder the terms: -12 + 6 + 4x + 3x = 2(4x + -5) + -1(x + -4) Combine like terms: -12 + 6 = -6 -6 + 4x + 3x = 2(4x + -5) + -1(x + -4) Combine like terms: 4x + 3x = 7x -6 + 7x = 2(4x + -5) + -1(x + -4) Reorder the terms: -6 + 7x = 2(-5 + 4x) + -1(x + -4) -6 + 7x = (-5 * 2 + 4x * 2) + -1(x + -4) -6 + 7x = (-10 + 8x) + -1(x + -4) Reorder the terms: -6 + 7x = -10 + 8x + -1(-4 + x) -6 + 7x = -10 + 8x + (-4 * -1 + x * -1) -6 + 7x = -10 + 8x + (4 + -1x) Reorder the terms: -6 + 7x = -10 + 4 + 8x + -1x Combine like terms: -10 + 4 = -6 -6 + 7x = -6 + 8x + -1x Combine like terms: 8x + -1x = 7x -6 + 7x = -6 + 7x Add '6' to each side of the equation. -6 + 6 + 7x = -6 + 6 + 7x Combine like terms: -6 + 6 = 0 0 + 7x = -6 + 6 + 7x 7x = -6 + 6 + 7x Combine like terms: -6 + 6 = 0 7x = 0 + 7x 7x = 7x Add '-7x' to each side of the equation. 7x + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 0 = 7x + -7x Combine like terms: 7x + -7x = 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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