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Simplifying 2x + 24 + -8x + -8 + 12x + 32 = 9x + -36 + 4x + 14 Reorder the terms: 24 + -8 + 32 + 2x + -8x + 12x = 9x + -36 + 4x + 14 Combine like terms: 24 + -8 = 16 16 + 32 + 2x + -8x + 12x = 9x + -36 + 4x + 14 Combine like terms: 16 + 32 = 48 48 + 2x + -8x + 12x = 9x + -36 + 4x + 14 Combine like terms: 2x + -8x = -6x 48 + -6x + 12x = 9x + -36 + 4x + 14 Combine like terms: -6x + 12x = 6x 48 + 6x = 9x + -36 + 4x + 14 Reorder the terms: 48 + 6x = -36 + 14 + 9x + 4x Combine like terms: -36 + 14 = -22 48 + 6x = -22 + 9x + 4x Combine like terms: 9x + 4x = 13x 48 + 6x = -22 + 13x Solving 48 + 6x = -22 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 48 + 6x + -13x = -22 + 13x + -13x Combine like terms: 6x + -13x = -7x 48 + -7x = -22 + 13x + -13x Combine like terms: 13x + -13x = 0 48 + -7x = -22 + 0 48 + -7x = -22 Add '-48' to each side of the equation. 48 + -48 + -7x = -22 + -48 Combine like terms: 48 + -48 = 0 0 + -7x = -22 + -48 -7x = -22 + -48 Combine like terms: -22 + -48 = -70 -7x = -70 Divide each side by '-7'. x = 10 Simplifying x = 10
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