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Simplifying 7x + -10 + -1[x + 5] = -1(2x + 30) Reorder the terms: 7x + -10 + -1[5 + x] = -1(2x + 30) 7x + -10 + [5 * -1 + x * -1] = -1(2x + 30) 7x + -10 + [-5 + -1x] = -1(2x + 30) Reorder the terms: -10 + -5 + 7x + -1x = -1(2x + 30) Combine like terms: -10 + -5 = -15 -15 + 7x + -1x = -1(2x + 30) Combine like terms: 7x + -1x = 6x -15 + 6x = -1(2x + 30) Reorder the terms: -15 + 6x = -1(30 + 2x) -15 + 6x = (30 * -1 + 2x * -1) -15 + 6x = (-30 + -2x) Solving -15 + 6x = -30 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -15 + 6x + 2x = -30 + -2x + 2x Combine like terms: 6x + 2x = 8x -15 + 8x = -30 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 8x = -30 + 0 -15 + 8x = -30 Add '15' to each side of the equation. -15 + 15 + 8x = -30 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = -30 + 15 8x = -30 + 15 Combine like terms: -30 + 15 = -15 8x = -15 Divide each side by '8'. x = -1.875 Simplifying x = -1.875
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