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Simplifying -10x + 2(x + -3) + 6x = 7x + -15 Reorder the terms: -10x + 2(-3 + x) + 6x = 7x + -15 -10x + (-3 * 2 + x * 2) + 6x = 7x + -15 -10x + (-6 + 2x) + 6x = 7x + -15 Reorder the terms: -6 + -10x + 2x + 6x = 7x + -15 Combine like terms: -10x + 2x = -8x -6 + -8x + 6x = 7x + -15 Combine like terms: -8x + 6x = -2x -6 + -2x = 7x + -15 Reorder the terms: -6 + -2x = -15 + 7x Solving -6 + -2x = -15 + 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. -6 + -2x + -7x = -15 + 7x + -7x Combine like terms: -2x + -7x = -9x -6 + -9x = -15 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -9x = -15 + 0 -6 + -9x = -15 Add '6' to each side of the equation. -6 + 6 + -9x = -15 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = -15 + 6 -9x = -15 + 6 Combine like terms: -15 + 6 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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