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Simplifying 8x + 12 + -6x = -7x + 8(5) Reorder the terms: 12 + 8x + -6x = -7x + 8(5) Combine like terms: 8x + -6x = 2x 12 + 2x = -7x + 8(5) Multiply 8 * 5 12 + 2x = -7x + 40 Reorder the terms: 12 + 2x = 40 + -7x Solving 12 + 2x = 40 + -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. 12 + 2x + 7x = 40 + -7x + 7x Combine like terms: 2x + 7x = 9x 12 + 9x = 40 + -7x + 7x Combine like terms: -7x + 7x = 0 12 + 9x = 40 + 0 12 + 9x = 40 Add '-12' to each side of the equation. 12 + -12 + 9x = 40 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = 40 + -12 9x = 40 + -12 Combine like terms: 40 + -12 = 28 9x = 28 Divide each side by '9'. x = 3.111111111 Simplifying x = 3.111111111
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