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Simplifying 4(4x + -3) + -6 = 4(2x + 3) + -24 Reorder the terms: 4(-3 + 4x) + -6 = 4(2x + 3) + -24 (-3 * 4 + 4x * 4) + -6 = 4(2x + 3) + -24 (-12 + 16x) + -6 = 4(2x + 3) + -24 Reorder the terms: -12 + -6 + 16x = 4(2x + 3) + -24 Combine like terms: -12 + -6 = -18 -18 + 16x = 4(2x + 3) + -24 Reorder the terms: -18 + 16x = 4(3 + 2x) + -24 -18 + 16x = (3 * 4 + 2x * 4) + -24 -18 + 16x = (12 + 8x) + -24 Reorder the terms: -18 + 16x = 12 + -24 + 8x Combine like terms: 12 + -24 = -12 -18 + 16x = -12 + 8x Solving -18 + 16x = -12 + 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. -18 + 16x + -8x = -12 + 8x + -8x Combine like terms: 16x + -8x = 8x -18 + 8x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + 8x = -12 + 0 -18 + 8x = -12 Add '18' to each side of the equation. -18 + 18 + 8x = -12 + 18 Combine like terms: -18 + 18 = 0 0 + 8x = -12 + 18 8x = -12 + 18 Combine like terms: -12 + 18 = 6 8x = 6 Divide each side by '8'. x = 0.75 Simplifying x = 0.75
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