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Simplifying 34x + -38 + -15x = 39x + -62 + -28x Reorder the terms: -38 + 34x + -15x = 39x + -62 + -28x Combine like terms: 34x + -15x = 19x -38 + 19x = 39x + -62 + -28x Reorder the terms: -38 + 19x = -62 + 39x + -28x Combine like terms: 39x + -28x = 11x -38 + 19x = -62 + 11x Solving -38 + 19x = -62 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -38 + 19x + -11x = -62 + 11x + -11x Combine like terms: 19x + -11x = 8x -38 + 8x = -62 + 11x + -11x Combine like terms: 11x + -11x = 0 -38 + 8x = -62 + 0 -38 + 8x = -62 Add '38' to each side of the equation. -38 + 38 + 8x = -62 + 38 Combine like terms: -38 + 38 = 0 0 + 8x = -62 + 38 8x = -62 + 38 Combine like terms: -62 + 38 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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