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Simplifying 7x + 5(x + 3) + 4x + -1x + -2 = 15x + 13 Reorder the terms: 7x + 5(3 + x) + 4x + -1x + -2 = 15x + 13 7x + (3 * 5 + x * 5) + 4x + -1x + -2 = 15x + 13 7x + (15 + 5x) + 4x + -1x + -2 = 15x + 13 Reorder the terms: 15 + -2 + 7x + 5x + 4x + -1x = 15x + 13 Combine like terms: 15 + -2 = 13 13 + 7x + 5x + 4x + -1x = 15x + 13 Combine like terms: 7x + 5x = 12x 13 + 12x + 4x + -1x = 15x + 13 Combine like terms: 12x + 4x = 16x 13 + 16x + -1x = 15x + 13 Combine like terms: 16x + -1x = 15x 13 + 15x = 15x + 13 Reorder the terms: 13 + 15x = 13 + 15x Add '-13' to each side of the equation. 13 + -13 + 15x = 13 + -13 + 15x Combine like terms: 13 + -13 = 0 0 + 15x = 13 + -13 + 15x 15x = 13 + -13 + 15x Combine like terms: 13 + -13 = 0 15x = 0 + 15x 15x = 15x Add '-15x' to each side of the equation. 15x + -15x = 15x + -15x Combine like terms: 15x + -15x = 0 0 = 15x + -15x Combine like terms: 15x + -15x = 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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