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Simplifying 6x + 15 + -4 = -2x + -1(-10) + -7 Reorder the terms: 15 + -4 + 6x = -2x + -1(-10) + -7 Combine like terms: 15 + -4 = 11 11 + 6x = -2x + -1(-10) + -7 Multiply -1 * -10 11 + 6x = -2x + 10 + -7 Reorder the terms: 11 + 6x = 10 + -7 + -2x Combine like terms: 10 + -7 = 3 11 + 6x = 3 + -2x Solving 11 + 6x = 3 + -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. 11 + 6x + 2x = 3 + -2x + 2x Combine like terms: 6x + 2x = 8x 11 + 8x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 11 + 8x = 3 + 0 11 + 8x = 3 Add '-11' to each side of the equation. 11 + -11 + 8x = 3 + -11 Combine like terms: 11 + -11 = 0 0 + 8x = 3 + -11 8x = 3 + -11 Combine like terms: 3 + -11 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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