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Simplifying 3x + 5 + -10x + 8 = x + -8 + 4 + 2x + -7 Reorder the terms: 5 + 8 + 3x + -10x = x + -8 + 4 + 2x + -7 Combine like terms: 5 + 8 = 13 13 + 3x + -10x = x + -8 + 4 + 2x + -7 Combine like terms: 3x + -10x = -7x 13 + -7x = x + -8 + 4 + 2x + -7 Reorder the terms: 13 + -7x = -8 + 4 + -7 + x + 2x Combine like terms: -8 + 4 = -4 13 + -7x = -4 + -7 + x + 2x Combine like terms: -4 + -7 = -11 13 + -7x = -11 + x + 2x Combine like terms: x + 2x = 3x 13 + -7x = -11 + 3x Solving 13 + -7x = -11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 13 + -7x + -3x = -11 + 3x + -3x Combine like terms: -7x + -3x = -10x 13 + -10x = -11 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + -10x = -11 + 0 13 + -10x = -11 Add '-13' to each side of the equation. 13 + -13 + -10x = -11 + -13 Combine like terms: 13 + -13 = 0 0 + -10x = -11 + -13 -10x = -11 + -13 Combine like terms: -11 + -13 = -24 -10x = -24 Divide each side by '-10'. x = 2.4 Simplifying x = 2.4
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