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