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Simplifying 1 + 3x + -7 = 8(4x + -6) + -6(x + -7) Reorder the terms: 1 + -7 + 3x = 8(4x + -6) + -6(x + -7) Combine like terms: 1 + -7 = -6 -6 + 3x = 8(4x + -6) + -6(x + -7) Reorder the terms: -6 + 3x = 8(-6 + 4x) + -6(x + -7) -6 + 3x = (-6 * 8 + 4x * 8) + -6(x + -7) -6 + 3x = (-48 + 32x) + -6(x + -7) Reorder the terms: -6 + 3x = -48 + 32x + -6(-7 + x) -6 + 3x = -48 + 32x + (-7 * -6 + x * -6) -6 + 3x = -48 + 32x + (42 + -6x) Reorder the terms: -6 + 3x = -48 + 42 + 32x + -6x Combine like terms: -48 + 42 = -6 -6 + 3x = -6 + 32x + -6x Combine like terms: 32x + -6x = 26x -6 + 3x = -6 + 26x Add '6' to each side of the equation. -6 + 6 + 3x = -6 + 6 + 26x Combine like terms: -6 + 6 = 0 0 + 3x = -6 + 6 + 26x 3x = -6 + 6 + 26x Combine like terms: -6 + 6 = 0 3x = 0 + 26x 3x = 26x Solving 3x = 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 3x + -26x = 26x + -26x Combine like terms: 3x + -26x = -23x -23x = 26x + -26x Combine like terms: 26x + -26x = 0 -23x = 0 Divide each side by '-23'. x = 0 Simplifying x = 0
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