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Simplifying 4(4x + -3) = 3(8x + -8) Reorder the terms: 4(-3 + 4x) = 3(8x + -8) (-3 * 4 + 4x * 4) = 3(8x + -8) (-12 + 16x) = 3(8x + -8) Reorder the terms: -12 + 16x = 3(-8 + 8x) -12 + 16x = (-8 * 3 + 8x * 3) -12 + 16x = (-24 + 24x) Solving -12 + 16x = -24 + 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 = -24 + 24x + -24x Combine like terms: 16x + -24x = -8x -12 + -8x = -24 + 24x + -24x Combine like terms: 24x + -24x = 0 -12 + -8x = -24 + 0 -12 + -8x = -24 Add '12' to each side of the equation. -12 + 12 + -8x = -24 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = -24 + 12 -8x = -24 + 12 Combine like terms: -24 + 12 = -12 -8x = -12 Divide each side by '-8'. x = 1.5 Simplifying x = 1.5
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