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Simplifying 4(4x + -3) = 4(6x + 4) Reorder the terms: 4(-3 + 4x) = 4(6x + 4) (-3 * 4 + 4x * 4) = 4(6x + 4) (-12 + 16x) = 4(6x + 4) Reorder the terms: -12 + 16x = 4(4 + 6x) -12 + 16x = (4 * 4 + 6x * 4) -12 + 16x = (16 + 24x) Solving -12 + 16x = 16 + 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 = 16 + 24x + -24x Combine like terms: 16x + -24x = -8x -12 + -8x = 16 + 24x + -24x Combine like terms: 24x + -24x = 0 -12 + -8x = 16 + 0 -12 + -8x = 16 Add '12' to each side of the equation. -12 + 12 + -8x = 16 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = 16 + 12 -8x = 16 + 12 Combine like terms: 16 + 12 = 28 -8x = 28 Divide each side by '-8'. x = -3.5 Simplifying x = -3.5
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