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Simplifying 6(4x + -3) = 4(4x + -4) + 6 Reorder the terms: 6(-3 + 4x) = 4(4x + -4) + 6 (-3 * 6 + 4x * 6) = 4(4x + -4) + 6 (-18 + 24x) = 4(4x + -4) + 6 Reorder the terms: -18 + 24x = 4(-4 + 4x) + 6 -18 + 24x = (-4 * 4 + 4x * 4) + 6 -18 + 24x = (-16 + 16x) + 6 Reorder the terms: -18 + 24x = -16 + 6 + 16x Combine like terms: -16 + 6 = -10 -18 + 24x = -10 + 16x Solving -18 + 24x = -10 + 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. -18 + 24x + -16x = -10 + 16x + -16x Combine like terms: 24x + -16x = 8x -18 + 8x = -10 + 16x + -16x Combine like terms: 16x + -16x = 0 -18 + 8x = -10 + 0 -18 + 8x = -10 Add '18' to each side of the equation. -18 + 18 + 8x = -10 + 18 Combine like terms: -18 + 18 = 0 0 + 8x = -10 + 18 8x = -10 + 18 Combine like terms: -10 + 18 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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