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Simplifying 8(2x + -6) + 10 = -3(2x + -8) Reorder the terms: 8(-6 + 2x) + 10 = -3(2x + -8) (-6 * 8 + 2x * 8) + 10 = -3(2x + -8) (-48 + 16x) + 10 = -3(2x + -8) Reorder the terms: -48 + 10 + 16x = -3(2x + -8) Combine like terms: -48 + 10 = -38 -38 + 16x = -3(2x + -8) Reorder the terms: -38 + 16x = -3(-8 + 2x) -38 + 16x = (-8 * -3 + 2x * -3) -38 + 16x = (24 + -6x) Solving -38 + 16x = 24 + -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. -38 + 16x + 6x = 24 + -6x + 6x Combine like terms: 16x + 6x = 22x -38 + 22x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 -38 + 22x = 24 + 0 -38 + 22x = 24 Add '38' to each side of the equation. -38 + 38 + 22x = 24 + 38 Combine like terms: -38 + 38 = 0 0 + 22x = 24 + 38 22x = 24 + 38 Combine like terms: 24 + 38 = 62 22x = 62 Divide each side by '22'. x = 2.818181818 Simplifying x = 2.818181818
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