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Simplifying -15x + 70 = 5 + -6(x + -2) Reorder the terms: 70 + -15x = 5 + -6(x + -2) Reorder the terms: 70 + -15x = 5 + -6(-2 + x) 70 + -15x = 5 + (-2 * -6 + x * -6) 70 + -15x = 5 + (12 + -6x) Combine like terms: 5 + 12 = 17 70 + -15x = 17 + -6x Solving 70 + -15x = 17 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 70 + -15x + 6x = 17 + -6x + 6x Combine like terms: -15x + 6x = -9x 70 + -9x = 17 + -6x + 6x Combine like terms: -6x + 6x = 0 70 + -9x = 17 + 0 70 + -9x = 17 Add '-70' to each side of the equation. 70 + -70 + -9x = 17 + -70 Combine like terms: 70 + -70 = 0 0 + -9x = 17 + -70 -9x = 17 + -70 Combine like terms: 17 + -70 = -53 -9x = -53 Divide each side by '-9'. x = 5.888888889 Simplifying x = 5.888888889
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