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Simplifying 4(7 + -1x) + -40 = 2x + -3(4 + 2x) (7 * 4 + -1x * 4) + -40 = 2x + -3(4 + 2x) (28 + -4x) + -40 = 2x + -3(4 + 2x) Reorder the terms: 28 + -40 + -4x = 2x + -3(4 + 2x) Combine like terms: 28 + -40 = -12 -12 + -4x = 2x + -3(4 + 2x) -12 + -4x = 2x + (4 * -3 + 2x * -3) -12 + -4x = 2x + (-12 + -6x) Reorder the terms: -12 + -4x = -12 + 2x + -6x Combine like terms: 2x + -6x = -4x -12 + -4x = -12 + -4x Add '12' to each side of the equation. -12 + 12 + -4x = -12 + 12 + -4x Combine like terms: -12 + 12 = 0 0 + -4x = -12 + 12 + -4x -4x = -12 + 12 + -4x Combine like terms: -12 + 12 = 0 -4x = 0 + -4x -4x = -4x Add '4x' to each side of the equation. -4x + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 0 = -4x + 4x Combine like terms: -4x + 4x = 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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