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Simplifying 6(x + -6) + 28 = 8(2x + 4) Reorder the terms: 6(-6 + x) + 28 = 8(2x + 4) (-6 * 6 + x * 6) + 28 = 8(2x + 4) (-36 + 6x) + 28 = 8(2x + 4) Reorder the terms: -36 + 28 + 6x = 8(2x + 4) Combine like terms: -36 + 28 = -8 -8 + 6x = 8(2x + 4) Reorder the terms: -8 + 6x = 8(4 + 2x) -8 + 6x = (4 * 8 + 2x * 8) -8 + 6x = (32 + 16x) Solving -8 + 6x = 32 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -8 + 6x + -16x = 32 + 16x + -16x Combine like terms: 6x + -16x = -10x -8 + -10x = 32 + 16x + -16x Combine like terms: 16x + -16x = 0 -8 + -10x = 32 + 0 -8 + -10x = 32 Add '8' to each side of the equation. -8 + 8 + -10x = 32 + 8 Combine like terms: -8 + 8 = 0 0 + -10x = 32 + 8 -10x = 32 + 8 Combine like terms: 32 + 8 = 40 -10x = 40 Divide each side by '-10'. x = -4 Simplifying x = -4
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