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Simplifying 8x + 4(2x + -3) = 4(6x + 4) + -4 Reorder the terms: 8x + 4(-3 + 2x) = 4(6x + 4) + -4 8x + (-3 * 4 + 2x * 4) = 4(6x + 4) + -4 8x + (-12 + 8x) = 4(6x + 4) + -4 Reorder the terms: -12 + 8x + 8x = 4(6x + 4) + -4 Combine like terms: 8x + 8x = 16x -12 + 16x = 4(6x + 4) + -4 Reorder the terms: -12 + 16x = 4(4 + 6x) + -4 -12 + 16x = (4 * 4 + 6x * 4) + -4 -12 + 16x = (16 + 24x) + -4 Reorder the terms: -12 + 16x = 16 + -4 + 24x Combine like terms: 16 + -4 = 12 -12 + 16x = 12 + 24x Solving -12 + 16x = 12 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -12 + 16x + -24x = 12 + 24x + -24x Combine like terms: 16x + -24x = -8x -12 + -8x = 12 + 24x + -24x Combine like terms: 24x + -24x = 0 -12 + -8x = 12 + 0 -12 + -8x = 12 Add '12' to each side of the equation. -12 + 12 + -8x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = 12 + 12 -8x = 12 + 12 Combine like terms: 12 + 12 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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