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