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Simplifying -7x + -10(x + 4) = -2(8x + 7) Reorder the terms: -7x + -10(4 + x) = -2(8x + 7) -7x + (4 * -10 + x * -10) = -2(8x + 7) -7x + (-40 + -10x) = -2(8x + 7) Reorder the terms: -40 + -7x + -10x = -2(8x + 7) Combine like terms: -7x + -10x = -17x -40 + -17x = -2(8x + 7) Reorder the terms: -40 + -17x = -2(7 + 8x) -40 + -17x = (7 * -2 + 8x * -2) -40 + -17x = (-14 + -16x) Solving -40 + -17x = -14 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -40 + -17x + 16x = -14 + -16x + 16x Combine like terms: -17x + 16x = -1x -40 + -1x = -14 + -16x + 16x Combine like terms: -16x + 16x = 0 -40 + -1x = -14 + 0 -40 + -1x = -14 Add '40' to each side of the equation. -40 + 40 + -1x = -14 + 40 Combine like terms: -40 + 40 = 0 0 + -1x = -14 + 40 -1x = -14 + 40 Combine like terms: -14 + 40 = 26 -1x = 26 Divide each side by '-1'. x = -26 Simplifying x = -26
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