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Simplifying -6(2x + -8) + 8x = 6(x + 7) Reorder the terms: -6(-8 + 2x) + 8x = 6(x + 7) (-8 * -6 + 2x * -6) + 8x = 6(x + 7) (48 + -12x) + 8x = 6(x + 7) Combine like terms: -12x + 8x = -4x 48 + -4x = 6(x + 7) Reorder the terms: 48 + -4x = 6(7 + x) 48 + -4x = (7 * 6 + x * 6) 48 + -4x = (42 + 6x) Solving 48 + -4x = 42 + 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. 48 + -4x + -6x = 42 + 6x + -6x Combine like terms: -4x + -6x = -10x 48 + -10x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 48 + -10x = 42 + 0 48 + -10x = 42 Add '-48' to each side of the equation. 48 + -48 + -10x = 42 + -48 Combine like terms: 48 + -48 = 0 0 + -10x = 42 + -48 -10x = 42 + -48 Combine like terms: 42 + -48 = -6 -10x = -6 Divide each side by '-10'. x = 0.6 Simplifying x = 0.6
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