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Simplifying 5(x + -3) = 6x + -1(7 + -1x) Reorder the terms: 5(-3 + x) = 6x + -1(7 + -1x) (-3 * 5 + x * 5) = 6x + -1(7 + -1x) (-15 + 5x) = 6x + -1(7 + -1x) -15 + 5x = 6x + (7 * -1 + -1x * -1) -15 + 5x = 6x + (-7 + 1x) Reorder the terms: -15 + 5x = -7 + 6x + 1x Combine like terms: 6x + 1x = 7x -15 + 5x = -7 + 7x Solving -15 + 5x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -15 + 5x + -7x = -7 + 7x + -7x Combine like terms: 5x + -7x = -2x -15 + -2x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + -2x = -7 + 0 -15 + -2x = -7 Add '15' to each side of the equation. -15 + 15 + -2x = -7 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = -7 + 15 -2x = -7 + 15 Combine like terms: -7 + 15 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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