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Simplifying 5x + -7 + 8x = -6(x + -3) + 10 Reorder the terms: -7 + 5x + 8x = -6(x + -3) + 10 Combine like terms: 5x + 8x = 13x -7 + 13x = -6(x + -3) + 10 Reorder the terms: -7 + 13x = -6(-3 + x) + 10 -7 + 13x = (-3 * -6 + x * -6) + 10 -7 + 13x = (18 + -6x) + 10 Reorder the terms: -7 + 13x = 18 + 10 + -6x Combine like terms: 18 + 10 = 28 -7 + 13x = 28 + -6x Solving -7 + 13x = 28 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -7 + 13x + 6x = 28 + -6x + 6x Combine like terms: 13x + 6x = 19x -7 + 19x = 28 + -6x + 6x Combine like terms: -6x + 6x = 0 -7 + 19x = 28 + 0 -7 + 19x = 28 Add '7' to each side of the equation. -7 + 7 + 19x = 28 + 7 Combine like terms: -7 + 7 = 0 0 + 19x = 28 + 7 19x = 28 + 7 Combine like terms: 28 + 7 = 35 19x = 35 Divide each side by '19'. x = 1.842105263 Simplifying x = 1.842105263
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