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