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Simplifying 7(x + -3) + -1(6x + -6) = x + -15 Reorder the terms: 7(-3 + x) + -1(6x + -6) = x + -15 (-3 * 7 + x * 7) + -1(6x + -6) = x + -15 (-21 + 7x) + -1(6x + -6) = x + -15 Reorder the terms: -21 + 7x + -1(-6 + 6x) = x + -15 -21 + 7x + (-6 * -1 + 6x * -1) = x + -15 -21 + 7x + (6 + -6x) = x + -15 Reorder the terms: -21 + 6 + 7x + -6x = x + -15 Combine like terms: -21 + 6 = -15 -15 + 7x + -6x = x + -15 Combine like terms: 7x + -6x = 1x -15 + 1x = x + -15 Reorder the terms: -15 + 1x = -15 + x Add '15' to each side of the equation. -15 + 15 + 1x = -15 + 15 + x Combine like terms: -15 + 15 = 0 0 + 1x = -15 + 15 + x 1x = -15 + 15 + x Combine like terms: -15 + 15 = 0 1x = 0 + x 1x = x Solving 1x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1x + -1x = x + -1x Combine like terms: 1x + -1x = 0 0 = x + -1x Combine like terms: x + -1x = 0 0 = 0 Simplifying 0 = 0 The solution to this equation could not be determined.
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