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Simplifying -6x + -10(x + 7) = -5(3x + 5) Reorder the terms: -6x + -10(7 + x) = -5(3x + 5) -6x + (7 * -10 + x * -10) = -5(3x + 5) -6x + (-70 + -10x) = -5(3x + 5) Reorder the terms: -70 + -6x + -10x = -5(3x + 5) Combine like terms: -6x + -10x = -16x -70 + -16x = -5(3x + 5) Reorder the terms: -70 + -16x = -5(5 + 3x) -70 + -16x = (5 * -5 + 3x * -5) -70 + -16x = (-25 + -15x) Solving -70 + -16x = -25 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -70 + -16x + 15x = -25 + -15x + 15x Combine like terms: -16x + 15x = -1x -70 + -1x = -25 + -15x + 15x Combine like terms: -15x + 15x = 0 -70 + -1x = -25 + 0 -70 + -1x = -25 Add '70' to each side of the equation. -70 + 70 + -1x = -25 + 70 Combine like terms: -70 + 70 = 0 0 + -1x = -25 + 70 -1x = -25 + 70 Combine like terms: -25 + 70 = 45 -1x = 45 Divide each side by '-1'. x = -45 Simplifying x = -45
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