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Simplifying -1(x + -6) + 3x + 7 = 5(2x + -7) + -8x + 48 Reorder the terms: -1(-6 + x) + 3x + 7 = 5(2x + -7) + -8x + 48 (-6 * -1 + x * -1) + 3x + 7 = 5(2x + -7) + -8x + 48 (6 + -1x) + 3x + 7 = 5(2x + -7) + -8x + 48 Reorder the terms: 6 + 7 + -1x + 3x = 5(2x + -7) + -8x + 48 Combine like terms: 6 + 7 = 13 13 + -1x + 3x = 5(2x + -7) + -8x + 48 Combine like terms: -1x + 3x = 2x 13 + 2x = 5(2x + -7) + -8x + 48 Reorder the terms: 13 + 2x = 5(-7 + 2x) + -8x + 48 13 + 2x = (-7 * 5 + 2x * 5) + -8x + 48 13 + 2x = (-35 + 10x) + -8x + 48 Reorder the terms: 13 + 2x = -35 + 48 + 10x + -8x Combine like terms: -35 + 48 = 13 13 + 2x = 13 + 10x + -8x Combine like terms: 10x + -8x = 2x 13 + 2x = 13 + 2x Add '-13' to each side of the equation. 13 + -13 + 2x = 13 + -13 + 2x Combine like terms: 13 + -13 = 0 0 + 2x = 13 + -13 + 2x 2x = 13 + -13 + 2x Combine like terms: 13 + -13 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 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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