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Simplifying 4(2x + -9) + -3 = 4(x + -2) + -15 Reorder the terms: 4(-9 + 2x) + -3 = 4(x + -2) + -15 (-9 * 4 + 2x * 4) + -3 = 4(x + -2) + -15 (-36 + 8x) + -3 = 4(x + -2) + -15 Reorder the terms: -36 + -3 + 8x = 4(x + -2) + -15 Combine like terms: -36 + -3 = -39 -39 + 8x = 4(x + -2) + -15 Reorder the terms: -39 + 8x = 4(-2 + x) + -15 -39 + 8x = (-2 * 4 + x * 4) + -15 -39 + 8x = (-8 + 4x) + -15 Reorder the terms: -39 + 8x = -8 + -15 + 4x Combine like terms: -8 + -15 = -23 -39 + 8x = -23 + 4x Solving -39 + 8x = -23 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -39 + 8x + -4x = -23 + 4x + -4x Combine like terms: 8x + -4x = 4x -39 + 4x = -23 + 4x + -4x Combine like terms: 4x + -4x = 0 -39 + 4x = -23 + 0 -39 + 4x = -23 Add '39' to each side of the equation. -39 + 39 + 4x = -23 + 39 Combine like terms: -39 + 39 = 0 0 + 4x = -23 + 39 4x = -23 + 39 Combine like terms: -23 + 39 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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