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Simplifying 10 + -4x + 3 = 6x + 5 + -7x Reorder the terms: 10 + 3 + -4x = 6x + 5 + -7x Combine like terms: 10 + 3 = 13 13 + -4x = 6x + 5 + -7x Reorder the terms: 13 + -4x = 5 + 6x + -7x Combine like terms: 6x + -7x = -1x 13 + -4x = 5 + -1x Solving 13 + -4x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 13 + -4x + x = 5 + -1x + x Combine like terms: -4x + x = -3x 13 + -3x = 5 + -1x + x Combine like terms: -1x + x = 0 13 + -3x = 5 + 0 13 + -3x = 5 Add '-13' to each side of the equation. 13 + -13 + -3x = 5 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = 5 + -13 -3x = 5 + -13 Combine like terms: 5 + -13 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667
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