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Simplifying 7(x + -6) + 2x + -6 = 4(x + -8) + 13x Reorder the terms: 7(-6 + x) + 2x + -6 = 4(x + -8) + 13x (-6 * 7 + x * 7) + 2x + -6 = 4(x + -8) + 13x (-42 + 7x) + 2x + -6 = 4(x + -8) + 13x Reorder the terms: -42 + -6 + 7x + 2x = 4(x + -8) + 13x Combine like terms: -42 + -6 = -48 -48 + 7x + 2x = 4(x + -8) + 13x Combine like terms: 7x + 2x = 9x -48 + 9x = 4(x + -8) + 13x Reorder the terms: -48 + 9x = 4(-8 + x) + 13x -48 + 9x = (-8 * 4 + x * 4) + 13x -48 + 9x = (-32 + 4x) + 13x Combine like terms: 4x + 13x = 17x -48 + 9x = -32 + 17x Solving -48 + 9x = -32 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -48 + 9x + -17x = -32 + 17x + -17x Combine like terms: 9x + -17x = -8x -48 + -8x = -32 + 17x + -17x Combine like terms: 17x + -17x = 0 -48 + -8x = -32 + 0 -48 + -8x = -32 Add '48' to each side of the equation. -48 + 48 + -8x = -32 + 48 Combine like terms: -48 + 48 = 0 0 + -8x = -32 + 48 -8x = -32 + 48 Combine like terms: -32 + 48 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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