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Simplifying -70 + x = 15x + -8(x + 5) Reorder the terms: -70 + x = 15x + -8(5 + x) -70 + x = 15x + (5 * -8 + x * -8) -70 + x = 15x + (-40 + -8x) Reorder the terms: -70 + x = -40 + 15x + -8x Combine like terms: 15x + -8x = 7x -70 + x = -40 + 7x Solving -70 + x = -40 + 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. -70 + x + -7x = -40 + 7x + -7x Combine like terms: x + -7x = -6x -70 + -6x = -40 + 7x + -7x Combine like terms: 7x + -7x = 0 -70 + -6x = -40 + 0 -70 + -6x = -40 Add '70' to each side of the equation. -70 + 70 + -6x = -40 + 70 Combine like terms: -70 + 70 = 0 0 + -6x = -40 + 70 -6x = -40 + 70 Combine like terms: -40 + 70 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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