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Simplifying 6(x + -6) + 4 = 4(2x + -8) + -3 Reorder the terms: 6(-6 + x) + 4 = 4(2x + -8) + -3 (-6 * 6 + x * 6) + 4 = 4(2x + -8) + -3 (-36 + 6x) + 4 = 4(2x + -8) + -3 Reorder the terms: -36 + 4 + 6x = 4(2x + -8) + -3 Combine like terms: -36 + 4 = -32 -32 + 6x = 4(2x + -8) + -3 Reorder the terms: -32 + 6x = 4(-8 + 2x) + -3 -32 + 6x = (-8 * 4 + 2x * 4) + -3 -32 + 6x = (-32 + 8x) + -3 Reorder the terms: -32 + 6x = -32 + -3 + 8x Combine like terms: -32 + -3 = -35 -32 + 6x = -35 + 8x Solving -32 + 6x = -35 + 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. -32 + 6x + -8x = -35 + 8x + -8x Combine like terms: 6x + -8x = -2x -32 + -2x = -35 + 8x + -8x Combine like terms: 8x + -8x = 0 -32 + -2x = -35 + 0 -32 + -2x = -35 Add '32' to each side of the equation. -32 + 32 + -2x = -35 + 32 Combine like terms: -32 + 32 = 0 0 + -2x = -35 + 32 -2x = -35 + 32 Combine like terms: -35 + 32 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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