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Simplifying 2(6x + -3) + -15 = 8(x + -4) Reorder the terms: 2(-3 + 6x) + -15 = 8(x + -4) (-3 * 2 + 6x * 2) + -15 = 8(x + -4) (-6 + 12x) + -15 = 8(x + -4) Reorder the terms: -6 + -15 + 12x = 8(x + -4) Combine like terms: -6 + -15 = -21 -21 + 12x = 8(x + -4) Reorder the terms: -21 + 12x = 8(-4 + x) -21 + 12x = (-4 * 8 + x * 8) -21 + 12x = (-32 + 8x) Solving -21 + 12x = -32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -21 + 12x + -8x = -32 + 8x + -8x Combine like terms: 12x + -8x = 4x -21 + 4x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 -21 + 4x = -32 + 0 -21 + 4x = -32 Add '21' to each side of the equation. -21 + 21 + 4x = -32 + 21 Combine like terms: -21 + 21 = 0 0 + 4x = -32 + 21 4x = -32 + 21 Combine like terms: -32 + 21 = -11 4x = -11 Divide each side by '4'. x = -2.75 Simplifying x = -2.75
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